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Unit 04: Sequences and Seeries @math-11-nbf:sol

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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-nbf:sol:unit04:ex4-1-p1|Question 1 & 2]] * [[math-11-nbf:sol:unit04:ex4-1-p2|Question 3 & 4]] * [[math-11-nbf:sol:unit04:ex4-1-p3|Question 5 & 6]] * [[math-11-nbf:sol:unit04:ex4-1-p4|Questi

Unit 04: Sequence and Series (Solutions) @math-11-kpk:sol

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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-kpk:sol:unit04:ex4-1-p1|Question 1 & 2]] * [[math-11-kpk:sol:unit04:ex4-1-p2|Question 3 &4 ]] * [[math-11-kpk:sol:unit04:ex4-1-p3|Question 5]] * [[math-11-kpk:sol:unit04:ex4-1-p4|Question 6

Unit 07: Mathmatical Induction and Binomial Theorem (Solutions) @math-11-kpk:sol

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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-kpk:sol:unit07:ex7-1-p1|Question 1]] * [[math-11-kpk:sol:unit07:ex7-1-p2|Question 2 ]] * [[math-11-kpk:sol:unit07:ex7-1-p3|Question 3]] * [[math-11-kpk:sol:unit07:ex7-1-p4|Question 4]]

Unit 08: Fundamental of Trigonometry @math-11-nbf:sol

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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-nbf:sol:unit08:ex8-1-p1|Question 1]] * [[math-11-nbf:sol:unit08:ex8-1-p2|Question 2 ]] * [[math-11-nbf:sol:unit08:ex8-1-p3|Question 3]] * [[math-11-nbf:sol:unit08:ex8-1-p4|Question 4]]

Unit 06: Permutation, Combination and Probability (Solutions) @math-11-kpk:sol

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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-kpk:sol:unit06:ex6-1-p1|Question 1 & 2]] * [[math-11-kpk:sol:unit06:ex6-1-p2|Question 3 & 4 ]] * [[math-11-kpk:sol:unit06:ex6-1-p3|Question 5]] </panel> <panel type="default" title="Exercise

Unit 01: Complex Numbers (Solutions) @math-11-nbf:sol

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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-nbf:sol:unit01:ex1-1-p1|Question 1]] * [[math-11-nbf:sol:unit01:ex1-1-p2|Question 2]] * [[math-11-nbf:sol:unit01:ex1-1-p3|Question 3]] * [[math-11-nbf:sol:unit01:ex1-1-p4|Question 4]]

Unit 03: Vectors (Solutions) @math-11-kpk:sol

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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-kpk:sol:unit03:ex3-2-p1|Question 1]] * [[math-11-kpk:sol:unit03:ex3-2-p2|Question 2]] * [[math-11-kpk:sol:unit03:ex3-2-p3|Question 3 & 4]] * [[math-11-kpk:sol:unit03:ex3-2-p4|Question 5

Unit 02: Matrices and Determinants (Solutions) @math-11-nbf:sol

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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-nbf:sol:unit02:ex2-1-p1|Question 1]] * [[math-11-nbf:sol:unit02:ex2-1-p2|Question 2]] * [[math-11-nbf:sol:unit02:ex2-1-p3|Question 3]] * [[math-11-nbf:sol:unit02:ex2-1-p4|Question 4]] <

Short Questions by Mr. Akhtar Abbas @fsc:fsc_part_1_mcqs

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====== Short Questions by Mr. Akhtar Abbas ====== * We are very thankful to **Mr. [[people:akhtar]]** for sharing these short questions. * These short questions are selected from previous 5 years papers of different boards. Solve these at y... nnual exams. * Recommended book for these short questions is "Text Book of Algebra and Trigonometry Class

Unit 02: Matrices and Determinants (Solutions) @math-11-kpk:sol

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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-kpk:sol:unit02:ex2-1-p1|Question 1]] * [[math-11-kpk:sol:unit02:ex2-1-p2|Question 2]] * [[math-11-kpk:sol:unit02:ex2-1-p3|Question 3]] * [[math-11-kpk:sol:unit02:ex2-1-p4|Question 4]]

Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions) @fsc-part1-kpk:sol

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n this page we have provided the solutions of the questions. After reading this unit the students will be a... tions)"> * [[fsc-part1-kpk:sol:unit10:ex10-1-p1|Question 1]] * [[fsc-part1-kpk:sol:unit10:ex10-1-p2|Question 2]] * [[fsc-part1-kpk:sol:unit10:ex10-1-p3|Question 3]] * [[fsc-part1-kpk:sol:unit10:ex10-1-p4|Questi

Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions) @math-11-kpk:sol

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n this page we have provided the solutions of the questions. After reading this unit the students will be a... lutions)"> * [[math-11-kpk:sol:unit10:ex10-1-p1|Question 1]] * [[math-11-kpk:sol:unit10:ex10-1-p2|Question 2]] * [[math-11-kpk:sol:unit10:ex10-1-p3|Question 3]] * [[math-11-kpk:sol:unit10:ex10-1-p4|Question 4

Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01

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ble at MathCity.org <grid><col sm="6"> <panel> **Question 1** Verify the addition properties of complex num... left( w+v\right)\nonumber \] </panel> <panel> **Question 2** Verify the multiplication properties of the complex numbers. </panel> <panel> **Question 3** Verify the distributive law of complex numbers. </panel> <panel> **Question 4(i)** Simplify: $i^9$ **Solutions** $i^9$ $=

Unit 1: Complex Numbers (Solutions) @fsc-part1-kpk:sol

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n this page we have provided the solutions of the questions. After reading this unit the students will be a... utions)"> * [[fsc-part1-kpk:sol:unit01:ex1-1-p1|Question 1]] * [[fsc-part1-kpk:sol:unit01:ex1-1-p2|Question 2-3]] * [[fsc-part1-kpk:sol:unit01:ex1-1-p3|Question 4]] * [[fsc-part1-kpk:sol:unit01:ex1-1-p4|Question

Unit 01: Complex Numbers (Solutions) @math-11-kpk:sol

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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-kpk:sol:unit01:ex1-1-p1|Question 1]] * [[math-11-kpk:sol:unit01:ex1-1-p2|Question 2-3]] * [[math-11-kpk:sol:unit01:ex1-1-p3|Question 4]] * [[math-11-kpk:sol:unit01:ex1-1-p4|Question 5]]

Question 3 Exercise 6.4 @math-11-kpk:sol:unit06

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Unit 05: Miscellaneous Series (Solutions) @math-11-kpk:sol

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Important Questions: HSSC-I @fsc-part1-ptb

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Unit 05: Polynomials @math-11-nbf:sol

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Unit 09: Trigonometric Functions @math-11-nbf:sol

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Question 7, Exercise 10.2 @fsc-part1-kpk:sol:unit10

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Question 7, Exercise 10.2 @math-11-kpk:sol:unit10

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Syllabus & Paper Pattern for General Mathematics (Split Program) @bsc:paper_pattern:punjab_university

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View @fsc:fsc_part_1_mcqs:short_questions_by_mr._akhtar_abbas

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Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02

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Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01

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Exercise 6.2 @matric:9th_science

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Question 7 Exercise 6.4 @math-11-kpk:sol:unit06

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Question 1, Exercise 1.3 @math-11-nbf:sol:unit01

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Question 6(i-ix), Exercise 1.4 @math-11-nbf:sol:unit01

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Question 2, Exercise 1.1 @math-11-nbf:sol:unit01

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Question 6(x-xvii), Exercise 1.4 @math-11-nbf:sol:unit01

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Question 10, Exercise 8.1 @math-11-nbf:sol:unit08

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Question 11, Exercise 8.1 @math-11-nbf:sol:unit08

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MTH321: Real Analysis I (Spring 2023) @atiq

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Important Questions: HSSC-II @fsc-part2-ptb

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Question 1 and 2 Exercise 4.1 @math-11-kpk:sol:unit04

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Question 1 and 2 Exercise 6.1 @math-11-kpk:sol:unit06

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Question 7 and 8 Exercise 6.3 @math-11-kpk:sol:unit06

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Review exercise @matric:9th_science

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Syllabus & Paper Pattern for A and B Course of Mathematics @bsc:paper_pattern:punjab_university

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Question 7, Exercise 1.2 @fsc-part1-kpk:sol:unit01

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Question 1, Exercise 10.1 @fsc-part1-kpk:sol:unit10

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Question 2, Exercise 10.1 @fsc-part1-kpk:sol:unit10

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Question 6, Exercise 10.2 @fsc-part1-kpk:sol:unit10

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Question 7, Exercise 1.2 @math-11-kpk:sol:unit01

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Question 2, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 13 Exercise 6.2 @math-11-kpk:sol:unit06

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Question 4 Exercise 6.4 @math-11-kpk:sol:unit06

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Question 1, Exercise 10.1 @math-11-kpk:sol:unit10

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Question 2, Exercise 10.1 @math-11-kpk:sol:unit10

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Question 6, Exercise 10.2 @math-11-kpk:sol:unit10

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Question 8, Exercise 1.2 @math-11-nbf:sol:unit01

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Question 9, Exercise 1.2 @math-11-nbf:sol:unit01

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Question 7, Exercise 1.4 @math-11-nbf:sol:unit01

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Question 2, Exercise 2.1 @math-11-nbf:sol:unit02

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Question 4, Exercise 2.2 @math-11-nbf:sol:unit02

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Question 14, Exercise 4.5 @math-11-nbf:sol:unit04

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Question 3, Exercise 8.1 @math-11-nbf:sol:unit08

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Question 4, Exercise 8.1 @math-11-nbf:sol:unit08

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Question 4 Exercise 8.2 @math-11-nbf:sol:unit08

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Question 3, Exercise 9.1 @math-11-nbf:sol:unit09

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Question 5(vi-x), Exercise 9.1 @math-11-nbf:sol:unit09

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Question 6, Exercise 9.1 @math-11-nbf:sol:unit09

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MTH322: Real Analysis II (Spring 2023) @atiq

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Short Questions by Mr. Akhtar Abbas @fsc:fsc_part_2_mcqs

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Exercise 6.1 @matric:9th_science

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Question 8, Exercise 1.2 @fsc-part1-kpk:sol:unit01

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Question 2 & 3, Review Exercise 1 @fsc-part1-kpk:sol:unit01

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Question 8, Exercise 1.2 @math-11-kpk:sol:unit01

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Question 2 & 3, Review Exercise 1 @math-11-kpk:sol:unit01

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Question 1, Exercise 3.2 @math-11-kpk:sol:unit03

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Question 3 and 4 Exercise 4.1 @math-11-kpk:sol:unit04

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Question 12 & 13 Exercise 4.2 @math-11-kpk:sol:unit04

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Question 1 Exercise 4.5 @math-11-kpk:sol:unit04

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Question 1 and 2 Exercise 6.2 @math-11-kpk:sol:unit06

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Question 5 and 6 Exercise 6.3 @math-11-kpk:sol:unit06

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Question 3, Exercise 1.1 @math-11-nbf:sol:unit01

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Question 10, Exercise 1.2 @math-11-nbf:sol:unit01

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Question 1, Exercise 2.1 @math-11-nbf:sol:unit02

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Question 4, Exercise 2.1 @math-11-nbf:sol:unit02

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Question 1, Exercise 2.5 @math-11-nbf:sol:unit02

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Question 1, Exercise 4.2 @math-11-nbf:sol:unit04

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Question 1, Exercise 8.1 @math-11-nbf:sol:unit08

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Question 6 Exercise 8.2 @math-11-nbf:sol:unit08

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Question 2(i, ii, iii, iv and v) Exercise 8.3 @math-11-nbf:sol:unit08

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Question 2, Exercise 9.1 @math-11-nbf:sol:unit09

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Question 10(i-v), Review Exercise @math-11-nbf:sol:unit09

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Question 10(vi-x), Review Exercise @math-11-nbf:sol:unit09

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Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas @notes

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Chapter 06: Sequences and Series @fsc:fsc_part_1_solutions

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Question 2 & 3, Exercise 1.1 @fsc-part1-kpk:sol:unit01

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Question 6, Exercise 1.1 @fsc-part1-kpk:sol:unit01

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Question 2, Exercise 1.3 @fsc-part1-kpk:sol:unit01

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Question 5, Exercise 1.3 @fsc-part1-kpk:sol:unit01

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Question 3, Exercise 10.1 @fsc-part1-kpk:sol:unit10

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Question 8, Exercise 10.1 @fsc-part1-kpk:sol:unit10

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Question 1, Exercise 10.3 @fsc-part1-kpk:sol:unit10

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Question 2, Exercise 10.3 @fsc-part1-kpk:sol:unit10

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Question 2 & 3, Exercise 1.1 @math-11-kpk:sol:unit01

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Question 6, Exercise 1.1 @math-11-kpk:sol:unit01

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Question 2, Exercise 1.3 @math-11-kpk:sol:unit01

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Question 5, Exercise 1.3 @math-11-kpk:sol:unit01

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Question 4, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 5, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 6, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 2, Exercise 2.3 @math-11-kpk:sol:unit02

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Question 2, Exercise 3.2 @math-11-kpk:sol:unit03

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Question 7, Exercise 3.2 @math-11-kpk:sol:unit03

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Question 7, Exercise 3.2 @math-11-kpk:sol:unit03

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Question 2 and 3 Exercise 3.3 @math-11-kpk:sol:unit03

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Question 5 Exercise 4.1 @math-11-kpk:sol:unit04

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Question 2 Exercise 4.3 @math-11-kpk:sol:unit04

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Question 8 Exercise 4.4 @math-11-kpk:sol:unit04

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Question 4 Exercise 4.5 @math-11-kpk:sol:unit04

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Question 1 Exercise 5.1 @math-11-kpk:sol:unit05

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Question 1 Exercise 5.2 @math-11-kpk:sol:unit05

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Question 8 Review Exercise @math-11-kpk:sol:unit05

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Question 3 & 4 Exercise 6.1 @math-11-kpk:sol:unit06

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Question 12 Exercise 6.2 @math-11-kpk:sol:unit06

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Question 1 Exercise 6.4 @math-11-kpk:sol:unit06

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Question 6 Exercise 6.4 @math-11-kpk:sol:unit06

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Question 9 Exercise 6.5 @math-11-kpk:sol:unit06

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Question 7 & 8 Review Exercise 6 @math-11-kpk:sol:unit06

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Question 3, Exercise 10.1 @math-11-kpk:sol:unit10

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Question 8, Exercise 10.1 @math-11-kpk:sol:unit10

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Question 1, Exercise 10.3 @math-11-kpk:sol:unit10

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Question 2, Exercise 10.3 @math-11-kpk:sol:unit10

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Question 1, Exercise 1.1 @math-11-nbf:sol:unit01

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Question 4, Exercise 1.1 @math-11-nbf:sol:unit01

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Question 6, Exercise 1.1 @math-11-nbf:sol:unit01

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Question 7, Exercise 1.1 @math-11-nbf:sol:unit01

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Question 2, Exercise 1.3 @math-11-nbf:sol:unit01

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Question 3, Exercise 1.3 @math-11-nbf:sol:unit01

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Question 9, Exercise 1.4 @math-11-nbf:sol:unit01

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Question 2, Review Exercise @math-11-nbf:sol:unit01

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Question 2, Exercise 2.3 @math-11-nbf:sol:unit02

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Question 3, Exercise 2.3 @math-11-nbf:sol:unit02

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Question 4, Exercise 2.3 @math-11-nbf:sol:unit02

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Question 5, Exercise 2.3 @math-11-nbf:sol:unit02

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Question 2, Exercise 2.5 @math-11-nbf:sol:unit02

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Question 3, Exercise 2.6 @math-11-nbf:sol:unit02

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Question 4, Exercise 2.6 @math-11-nbf:sol:unit02

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Question 5, Exercise 2.6 @math-11-nbf:sol:unit02

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Question 6, Exercise 2.6 @math-11-nbf:sol:unit02

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Question 2, Exercise 4.2 @math-11-nbf:sol:unit04

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Question 13, Exercise 4.2 @math-11-nbf:sol:unit04

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Question 2, Exercise 8.1 @math-11-nbf:sol:unit08

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Question 5 Exercise 8.2 @math-11-nbf:sol:unit08

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Question 8(xiii, xiv & xv) Exercise 8.2 @math-11-nbf:sol:unit08

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Question 1(v, vi, vii & viii) Exercise 8.3 @math-11-nbf:sol:unit08

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Question 4(i-iv), Exercise 9.1 @math-11-nbf:sol:unit09

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Question 4(v-viii), Exercise 9.1 @math-11-nbf:sol:unit09

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Question 5(i-v), Exercise 9.1 @math-11-nbf:sol:unit09

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Question 9, Exercise 9.1 @math-11-nbf:sol:unit09

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Question 2 and 3, Review Exercise @math-11-nbf:sol:unit09

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Question 10(xi-xv), Review Exercise @math-11-nbf:sol:unit09

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MATH-510: Topology @atiq

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FBISE Annual 2009 @fsc:fsc_part_1_old_papers

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FBISE Annual 2011 @fsc:fsc_part_1_old_papers

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FBISE Annual 2012 @fsc:fsc_part_1_old_papers

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Question 1, Exercise 1.1 @fsc-part1-kpk:sol:unit01

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Question 4, Exercise 1.1 @fsc-part1-kpk:sol:unit01

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Question 5, Exercise 1.1 @fsc-part1-kpk:sol:unit01

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Question 7, Exercise 1.1 @fsc-part1-kpk:sol:unit01

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Question 8, Exercise 1.1 @fsc-part1-kpk:sol:unit01

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Question 3 & 4, Exercise 1.2 @fsc-part1-kpk:sol:unit01

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Question 5, Exercise 1.2 @fsc-part1-kpk:sol:unit01

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Question 6, Exercise 1.3 @fsc-part1-kpk:sol:unit01

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Question, Exercise 10.1 @fsc-part1-kpk:sol:unit10

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Question 5, Exercise 10.1 @fsc-part1-kpk:sol:unit10

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Question 13, Exercise 10.1 @fsc-part1-kpk:sol:unit10

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Question 2, Exercise 10.2 @fsc-part1-kpk:sol:unit10

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Question 4 and 5, Exercise 10.2 @fsc-part1-kpk:sol:unit10

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Question 8 and 9, Exercise 10.2 @fsc-part1-kpk:sol:unit10

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Question 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10

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Question 1, Exercise 1.1 @math-11-kpk:sol:unit01

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Question 4, Exercise 1.1 @math-11-kpk:sol:unit01

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Question 5, Exercise 1.1 @math-11-kpk:sol:unit01

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Question 7, Exercise 1.1 @math-11-kpk:sol:unit01

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Question 8, Exercise 1.1 @math-11-kpk:sol:unit01

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Question 3 & 4, Exercise 1.2 @math-11-kpk:sol:unit01

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Question 5, Exercise 1.2 @math-11-kpk:sol:unit01

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Question 6, Exercise 1.3 @math-11-kpk:sol:unit01

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Question 1, Exercise 2.1 @math-11-kpk:sol:unit02

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Question 3, Exercise 2.1 @math-11-kpk:sol:unit02

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Question 5 & 6, Exercise 2.1 @math-11-kpk:sol:unit02

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Question 8,9 & 10, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 11, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 13, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 1, Exercise 2.3 @math-11-kpk:sol:unit02

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Question 12, 13 & 14, Exercise 3.2 @math-11-kpk:sol:unit03

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Question 1, Exercise 3.3 @math-11-kpk:sol:unit03

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Question 7 & 8 Exercise 3.3 @math-11-kpk:sol:unit03

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Question 4 Exercise 3.4 @math-11-kpk:sol:unit03

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Question 7 & 8 Exercise 3.4 @math-11-kpk:sol:unit03

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Question 7 Exercise 3.5 @math-11-kpk:sol:unit03

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Question 1 Exercise 4.4 @math-11-kpk:sol:unit04

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Question 2 Exercise 4.5 @math-11-kpk:sol:unit04

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Question 1 Exercise 5.3 @math-11-kpk:sol:unit05

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Question 3 and 4 Exercise 6.2 @math-11-kpk:sol:unit06

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Question 7 and 8 Exercise 6.2 @math-11-kpk:sol:unit06

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Question 9 Exercise 6.3 @math-11-kpk:sol:unit06

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Question 5 & 6 Review Exercise 6 @math-11-kpk:sol:unit06

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Question 2 Exercise 7.2 @math-11-kpk:sol:unit07

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Question 3 Exercise 7.2 @math-11-kpk:sol:unit07

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Question 4 Exercise 7.2 @math-11-kpk:sol:unit07

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Question 5 Exercise 7.2 @math-11-kpk:sol:unit07

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Question 7 Exercise 7.2 @math-11-kpk:sol:unit07

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Question, Exercise 10.1 @math-11-kpk:sol:unit10

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Question 5, Exercise 10.1 @math-11-kpk:sol:unit10

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Question 13, Exercise 10.1 @math-11-kpk:sol:unit10

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Question 2, Exercise 10.2 @math-11-kpk:sol:unit10

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Question 4 and 5, Exercise 10.2 @math-11-kpk:sol:unit10

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Question 8 and 9, Exercise 10.2 @math-11-kpk:sol:unit10

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Question 5, Exercise 10.3 @math-11-kpk:sol:unit10

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Question 3, Exercise 1.2 @math-11-nbf:sol:unit01

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Question 4, Exercise 1.3 @math-11-nbf:sol:unit01

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Question 1, Exercise 1.4 @math-11-nbf:sol:unit01

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Question 8, Exercise 1.4 @math-11-nbf:sol:unit01

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Question 1, Exercise 2.2 @math-11-nbf:sol:unit02

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Question 1, Exercise 2.3 @math-11-nbf:sol:unit02

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Question 7, Exercise 2.3 @math-11-nbf:sol:unit02

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Question 3, Exercise 2.5 @math-11-nbf:sol:unit02

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Question 1, Exercise 2.6 @math-11-nbf:sol:unit02

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Question 14 and 15, Exercise 4.2 @math-11-nbf:sol:unit04

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Question 17, 18 and 19, Exercise 4.3 @math-11-nbf:sol:unit04

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Question 20, 21 and 22, Exercise 4.3 @math-11-nbf:sol:unit04

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Question 5, 6 and 7, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 11, 12 and 13, Exercise 4.5 @math-11-nbf:sol:unit04

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Question 11, 12 and 13, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 14, 15 and 16, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 5 and 6, Exercise 4.8 @math-11-nbf:sol:unit04

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Question 6 & 7, Review Exercise @math-11-nbf:sol:unit05

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Question 9, Exercise 8.1 @math-11-nbf:sol:unit08

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Question 12, Exercise 8.1 @math-11-nbf:sol:unit08

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Question 13, Exercise 8.1 @math-11-nbf:sol:unit08

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Question 7 Exercise 8.2 @math-11-nbf:sol:unit08

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Question 8(i, ii & iii) Exercise 8.2 @math-11-nbf:sol:unit08

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Question 8(iv, v & vi) Exercise 8.2 @math-11-nbf:sol:unit08

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Question 8(vii, viii & ix) Exercise 8.2 @math-11-nbf:sol:unit08

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Question 8(x, xi & xii) Exercise 8.2 @math-11-nbf:sol:unit08

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Question 8(xvi, xvii & xviii) Exercise 8.2 @math-11-nbf:sol:unit08

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Question 1(i, ii, iii & iv) Exercise 8.3 @math-11-nbf:sol:unit08

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Question 1(ix, x & xi) Exercise 8.3 @math-11-nbf:sol:unit08

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Question 2, Review Exercise @math-11-nbf:sol:unit08

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Question 5 and 6, Review Exercise @math-11-nbf:sol:unit08

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Question 7, Review Exercise @math-11-nbf:sol:unit08

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Question 1, Exercise 9.1 @math-11-nbf:sol:unit09

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Exercise 2.6 (Solutions) @matric:9th_science:unit_02

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MTH322: Real Analysis II (Spring 2019) @atiq

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Old Question Papers/Model Papers HSSC-I (FSc-I): FBISE @fsc-part1-ptb

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Old Question Papers/Model Papers HSSC-II (FSc-II): FBISE @fsc-part2-ptb

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Chapter 03: Matrices and Determinants @fsc:fsc_part_1_solutions

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Normed Spaces: Short Questions and MCQs @msc:mcqs_short_questions

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Applied Mathematics @bsc:paper_pattern:sargodha_university

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General Mathematics @bsc:paper_pattern:sargodha_university

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Pure Mathematics @bsc:paper_pattern:sargodha_university

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Question 9 & 10, Exercise 1.1 @fsc-part1-kpk:sol:unit01

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Question 6, Exercise 1.2 @fsc-part1-kpk:sol:unit01

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Question 1, Exercise 1.3 @fsc-part1-kpk:sol:unit01

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Question 3 & 4, Exercise 1.3 @fsc-part1-kpk:sol:unit01

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Question 4 & 5, Review Exercise 1 @fsc-part1-kpk:sol:unit01

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Question 6, 7 & 8, Review Exercise 1 @fsc-part1-kpk:sol:unit01

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Question 6, Exercise 10.1 @fsc-part1-kpk:sol:unit10

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Question 7, Exercise 10.1 @fsc-part1-kpk:sol:unit10

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Question 9 and 10, Exercise 10.1 @fsc-part1-kpk:sol:unit10

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Question11 and 12, Exercise 10.1 @fsc-part1-kpk:sol:unit10

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Question 3, Exercise 10.2 @fsc-part1-kpk:sol:unit10

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Question 3, Exercise 10.3 @fsc-part1-kpk:sol:unit10

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Question 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10

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Question 2 and 3, Review Exercise 10 @fsc-part1-kpk:sol:unit10

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Question 4 & 5, Review Exercise 10 @fsc-part1-kpk:sol:unit10

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Question 6 & 7, Review Exercise 10 @fsc-part1-kpk:sol:unit10

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Question 8 & 9, Review Exercise 10 @fsc-part1-kpk:sol:unit10

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Question 9 & 10, Exercise 1.1 @math-11-kpk:sol:unit01

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Question 6, Exercise 1.2 @math-11-kpk:sol:unit01

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Question 1, Exercise 1.3 @math-11-kpk:sol:unit01

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Question 3 & 4, Exercise 1.3 @math-11-kpk:sol:unit01

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Question 4 & 5, Review Exercise 1 @math-11-kpk:sol:unit01

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Question 6, 7 & 8, Review Exercise 1 @math-11-kpk:sol:unit01

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Question 8, Exercise 2.1 @math-11-kpk:sol:unit02

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Question 9, Exercise 2.1 @math-11-kpk:sol:unit02

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Question 12, Exercise 2.1 @math-11-kpk:sol:unit02

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Question 7, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 14 & 15, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 16 & 17, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 18, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 3, Exercise 2.3 @math-11-kpk:sol:unit02

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Question 3 & 4, Exercise 3.2 @math-11-kpk:sol:unit03

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Question 5 & 6, Exercise 3.2 @math-11-kpk:sol:unit03

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Question 9 & 10, Exercise 3.2 @math-11-kpk:sol:unit03

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Question 11, Exercise 3.2 @math-11-kpk:sol:unit03

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Question 4 and 5 Exercise 3.3 @math-11-kpk:sol:unit03

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Question 6 Exercise 3.3 @math-11-kpk:sol:unit03

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Question 9 & 10, Exercise 3.3 @math-11-kpk:sol:unit03

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Question 11, Exercise 3.3 @math-11-kpk:sol:unit03

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Question 1 Exercise 3.4 @math-11-kpk:sol:unit03

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Question 2 Exercise 3.4 @math-11-kpk:sol:unit03

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Question 3 Exercise 3.4 @math-11-kpk:sol:unit03

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Question 6 Exercise 3.4 @math-11-kpk:sol:unit03

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Question 3 & 4 Exercise 3.5 @math-11-kpk:sol:unit03

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Question 5(i) & 5(ii) Exercise 3.5 @math-11-kpk:sol:unit03

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Question 5(iii) & 5(iv) Exercise 3.5 @math-11-kpk:sol:unit03

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Question 8 Exercise 3.5 @math-11-kpk:sol:unit03

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Question 2 & 3 Review Exercise 3 @math-11-kpk:sol:unit03

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Question 4 & 5 Review Exercise 3 @math-11-kpk:sol:unit03

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Question 6 & 7 Review Exercise 3 @math-11-kpk:sol:unit03

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Question 8 & 9 Review Exercise 3 @math-11-kpk:sol:unit03

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Question 6 Exercise 4.1 @math-11-kpk:sol:unit04

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Question 3 and 4 Exercise 4.2 @math-11-kpk:sol:unit04

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Question 5 and 6 Exercise 4.2 @math-11-kpk:sol:unit04

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Question 14 Exercise 4.2 @math-11-kpk:sol:unit04

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Question 3 & 4 Exercise 4.3 @math-11-kpk:sol:unit04

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Question 5 & 6 Exercise 4.3 @math-11-kpk:sol:unit04

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Question 7 & 8 Exercise 4.3 @math-11-kpk:sol:unit04

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Question 9 & 10 Exercise 4.3 @math-11-kpk:sol:unit04

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Question 11 & 12 Exercise 4.3 @math-11-kpk:sol:unit04

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Question 2 & 3 Exercise 4.4 @math-11-kpk:sol:unit04

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Question 4 & 5 Exercise 4.4 @math-11-kpk:sol:unit04

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Question 6 & 7 Exercise 4.4 @math-11-kpk:sol:unit04

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Question 9 Exercise 4.4 @math-11-kpk:sol:unit04

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Question 5 & 6 Exercise 4.5 @math-11-kpk:sol:unit04

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Question 7 & 8 Exercise 4.5 @math-11-kpk:sol:unit04

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Question 9 & 10 Exercise 4.5 @math-11-kpk:sol:unit04

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Question 11 & 12 Exercise 4.5 @math-11-kpk:sol:unit04

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Question 13 & 14 Exercise 4.5 @math-11-kpk:sol:unit04

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Question 4 & 5 Exercise 5.1 @math-11-kpk:sol:unit05

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Question 7 & 8 Exercise 5.1 @math-11-kpk:sol:unit05

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Question 2 & 3 Exercise 5.2 @math-11-kpk:sol:unit05

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Question 2 & 3 Exercise 5.4 @math-11-kpk:sol:unit05

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Question 2 & 3 Review Exercise @math-11-kpk:sol:unit05

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Question 5 & 6 Review Exercise @math-11-kpk:sol:unit05

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Question 7 Review Exercise @math-11-kpk:sol:unit05

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Question 9 Review Exercise @math-11-kpk:sol:unit05

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Question 5 and 6 Exercise 6.2 @math-11-kpk:sol:unit06

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Question 10 Exercise 6.2 @math-11-kpk:sol:unit06

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Question 1 Exercise 6.3 @math-11-kpk:sol:unit06

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Question 4 Exercise 6.3 @math-11-kpk:sol:unit06

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Question 2 Exercise 6.4 @math-11-kpk:sol:unit06

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Question 5 Exercise 6.4 @math-11-kpk:sol:unit06

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Question 1 and 2 Exercise 6.5 @math-11-kpk:sol:unit06

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Question 3 and 4 Exercise 6.5 @math-11-kpk:sol:unit06

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Question 5 and 6 Exercise 6.5 @math-11-kpk:sol:unit06

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Question 2 Review Exercise 6 @math-11-kpk:sol:unit06

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Question 3 & 4 Review Exercise 6 @math-11-kpk:sol:unit06

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Question 9 & 10 Review Exercise 6 @math-11-kpk:sol:unit06

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Question 12 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 13 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 14 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 1 Exercise 7.2 @math-11-kpk:sol:unit07

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Question 6, Exercise 10.1 @math-11-kpk:sol:unit10

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Question 7, Exercise 10.1 @math-11-kpk:sol:unit10

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Question 9 and 10, Exercise 10.1 @math-11-kpk:sol:unit10

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Question11 and 12, Exercise 10.1 @math-11-kpk:sol:unit10

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Question 3, Exercise 10.2 @math-11-kpk:sol:unit10

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Question 3, Exercise 10.3 @math-11-kpk:sol:unit10

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Question 5, Exercise 10.3 @math-11-kpk:sol:unit10

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Question 2 and 3, Review Exercise 10 @math-11-kpk:sol:unit10

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Question 4 & 5, Review Exercise 10 @math-11-kpk:sol:unit10

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Question 6 & 7, Review Exercise 10 @math-11-kpk:sol:unit10

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Question 8 & 9, Review Exercise 10 @math-11-kpk:sol:unit10

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Question 2, Exercise 1.4 @math-11-nbf:sol:unit01

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Question 3, Review Exercise @math-11-nbf:sol:unit01

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Question 5, Review Exercise @math-11-nbf:sol:unit01

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Question 7, Exercise 2.2 @math-11-nbf:sol:unit02

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Question 2, Exercise 2.6 @math-11-nbf:sol:unit02

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Question 7 and 8, Exercise 2.6 @math-11-nbf:sol:unit02

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Question 2 and 3, Review Exercise @math-11-nbf:sol:unit02

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Question 3 and 4, Exercise 4.1 @math-11-nbf:sol:unit04

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Question 5 and 6, Exercise 4.1 @math-11-nbf:sol:unit04

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Question 7 and 8, Exercise 4.1 @math-11-nbf:sol:unit04

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Question 9 and 10, Exercise 4.1 @math-11-nbf:sol:unit04

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Question 11 and 12, Exercise 4.1 @math-11-nbf:sol:unit04

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Question 13 and 14, Exercise 4.1 @math-11-nbf:sol:unit04

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Question 15 and 16, Exercise 4.1 @math-11-nbf:sol:unit04

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Question 17 and 18, Exercise 4.1 @math-11-nbf:sol:unit04

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Question 19 and 20, Exercise 4.1 @math-11-nbf:sol:unit04

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Question 3 and 4, Exercise 4.2 @math-11-nbf:sol:unit04

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Question 5 and 6, Exercise 4.2 @math-11-nbf:sol:unit04

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Question 7 and 8, Exercise 4.2 @math-11-nbf:sol:unit04

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Question 9 and 10, Exercise 4.2 @math-11-nbf:sol:unit04

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Question 11 and 12, Exercise 4.2 @math-11-nbf:sol:unit04

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Question 3 and 4, Exercise 4.3 @math-11-nbf:sol:unit04

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Question 5 and 6, Exercise 4.3 @math-11-nbf:sol:unit04

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Question 7 and 8, Exercise 4.3 @math-11-nbf:sol:unit04

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Question 9 and 10, Exercise 4.3 @math-11-nbf:sol:unit04

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Question 11 and 12, Exercise 4.3 @math-11-nbf:sol:unit04

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Question 13 and 14, Exercise 4.3 @math-11-nbf:sol:unit04

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Question 15 and 16, Exercise 4.3 @math-11-nbf:sol:unit04

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Question 23 and 24, Exercise 4.3 @math-11-nbf:sol:unit04

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Question 3 and 4, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 8 and 9, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 10 and 11, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 12 and 13, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 14 and 15, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 16 and 17, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 18 and 19, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 20 and 21, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 22 and 23, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 24 and 25, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 26 and 27, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 28 and 29, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 3 and 4, Exercise 4.5 @math-11-nbf:sol:unit04

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Question 5 and 6, Exercise 4.5 @math-11-nbf:sol:unit04

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Question 7 and 8, Exercise 4.5 @math-11-nbf:sol:unit04

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Question 9 and 10, Exercise 4.5 @math-11-nbf:sol:unit04

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Question 3 & 4, Exercise 4.6 @math-11-nbf:sol:unit04

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Question 5 & 6, Exercise 4.6 @math-11-nbf:sol:unit04

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Question 7 & 8, Exercise 4.6 @math-11-nbf:sol:unit04

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Question 9 & 10, Exercise 4.6 @math-11-nbf:sol:unit04

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Question 3 and 4, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 5 and 6, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 7 and 8, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 9 and 10, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 17 and 18, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 19 and 20, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 19 and 20, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 21 and 22, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 23 and 24, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 25 and 26, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 27 and 28, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 3 and 4, Exercise 4.8 @math-11-nbf:sol:unit04

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Question 7 and 8, Exercise 4.8 @math-11-nbf:sol:unit04

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Question 9 and 10, Exercise 4.8 @math-11-nbf:sol:unit04

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Question 11 and 12, Exercise 4.8 @math-11-nbf:sol:unit04

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Question 13, 14 and 15, Exercise 4.8 @math-11-nbf:sol:unit04

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Question 2 and 3, Exercise 5.1 @math-11-nbf:sol:unit05

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Question 4 and 5, Exercise 5.1 @math-11-nbf:sol:unit05

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Question 6 and 7, Exercise 5.1 @math-11-nbf:sol:unit05

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Question 8 and 9, Exercise 5.1 @math-11-nbf:sol:unit05

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Question 3 and 4, Exercise 5.2 @math-11-nbf:sol:unit05

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Question 5 and 6, Exercise 5.2 @math-11-nbf:sol:unit05

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Question 2 & 3, Review Exercise @math-11-nbf:sol:unit05

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Question 4 & 5, Review Exercise @math-11-nbf:sol:unit05

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Question 5 and 6, Exercise 8.1 @math-11-nbf:sol:unit08

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Question 1, 2 and 3 Exercise 8.2 @math-11-nbf:sol:unit08

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Question 8(xix, xx, xxi & xxii) Exercise 8.2 @math-11-nbf:sol:unit08

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Question 3, Review Exercise @math-11-nbf:sol:unit08

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Question 4, Review Exercise @math-11-nbf:sol:unit08

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Question 8, Review Exercise @math-11-nbf:sol:unit08

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Question 10, Review Exercise @math-11-nbf:sol:unit08

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Question 7 & 8, Exercise 9.1 @math-11-nbf:sol:unit09

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Question 5 and 6, Review Exercise @math-11-nbf:sol:unit09

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Exercise 2.1 (Solutions) @matric:9th_science:unit_02

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FSc/ICS Part 1 (Mathematics): PTB

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Short Term Preparation FSc/ICS 1 @fsc-part1-ptb

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Short Term Preparation FSc 2 @fsc-part2-ptb

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MCQs and Short Questions @msc

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MCQs-Short Questions by Mr Parvez Khan @fsc:fsc_part_1_mcqs

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Chapter 02: Sets, Functions and Groups @fsc:fsc_part_1_solutions

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Chapter 01 - Real Number System @msc:real_analysis_notes_by_syed_gul_shah

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Question 11, Exercise 1.1 @fsc-part1-kpk:sol:unit01

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Question 2, Exercise 1.2 @fsc-part1-kpk:sol:unit01

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Question 9, Exercise 1.2 @fsc-part1-kpk:sol:unit01

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Question 1, Exercise 10.2 @fsc-part1-kpk:sol:unit10

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Question 11, Exercise 1.1 @math-11-kpk:sol:unit01

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Question 2, Exercise 1.2 @math-11-kpk:sol:unit01

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Question 9, Exercise 1.2 @math-11-kpk:sol:unit01

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Question 2, Exercise 2.1 @math-11-kpk:sol:unit02

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Question 4, Exercise 2.1 @math-11-kpk:sol:unit02

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Question 7, Exercise 2.1 @math-11-kpk:sol:unit02

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Question 10, Exercise 2.1 @math-11-kpk:sol:unit02

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Question 11, Exercise 2.1 @math-11-kpk:sol:unit02

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Question 13, Exercise 2.1 @math-11-kpk:sol:unit02

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Question 3, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 12, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 12 & 13, Exercise 3.3 @math-11-kpk:sol:unit03

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Question 5 Exercise 3.4 @math-11-kpk:sol:unit03

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Question 9 Exercise 3.4 @math-11-kpk:sol:unit03

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Question 1 & 2 Exercise 3.5 @math-11-kpk:sol:unit03

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Question 6 Exercise 3.5 @math-11-kpk:sol:unit03

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Question 9 Exercise 3.5 @math-11-kpk:sol:unit03

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Question 10 Review Exercise 3 @math-11-kpk:sol:unit03

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Question 1 and 2 Exercise 4.2 @math-11-kpk:sol:unit04

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Question 7 Exercise 4.2 @math-11-kpk:sol:unit04

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Question 8 Exercise 4.2 @math-11-kpk:sol:unit04

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Question 9 Exercise 4.2 @math-11-kpk:sol:unit04

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Question 10 Exercise 4.2 @math-11-kpk:sol:unit04

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Question 11 Exercise 4.2 @math-11-kpk:sol:unit04

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Question 15 Exercise 4.2 @math-11-kpk:sol:unit04

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Question 16 Exercise 4.2 @math-11-kpk:sol:unit04

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Question 1 Exercise 4.3 @math-11-kpk:sol:unit04

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Question 13 & 14 Exercise 4.3 @math-11-kpk:sol:unit04

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Question 10 Exercise 4.4 @math-11-kpk:sol:unit04

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Question 11 Exercise 4.4 @math-11-kpk:sol:unit04

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Question 3 Exercise 4.5 @math-11-kpk:sol:unit04

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Question 15 & 16 Exercise 4.5 @math-11-kpk:sol:unit04

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Question 6 Exercise 5.1 @math-11-kpk:sol:unit05

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Question 9 Exercise 5.1 @math-11-kpk:sol:unit05

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Question 4 & 5 Exercise 5.2 @math-11-kpk:sol:unit05

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Question 2 Exercise 5.3 @math-11-kpk:sol:unit05

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Question 3 Exercise 5.3 @math-11-kpk:sol:unit05

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Question 4 Exercise 5.3 @math-11-kpk:sol:unit05

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Question 5 Exercise 5.3 @math-11-kpk:sol:unit05

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Question 4 Review Exercise @math-11-kpk:sol:unit05

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Question 5 Exercise 6.1 @math-11-kpk:sol:unit06

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Question 9 Exercise 6.2 @math-11-kpk:sol:unit06

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Question 11 Exercise 6.2 @math-11-kpk:sol:unit06

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Question 14 and 15 Exercise 6.2 @math-11-kpk:sol:unit06

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Question 2 Exercise 6.3 @math-11-kpk:sol:unit06

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Question 3 Exercise 6.3 @math-11-kpk:sol:unit06

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Question 7 Exercise 6.5 @math-11-kpk:sol:unit06

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Question 8 Exercise 6.5 @math-11-kpk:sol:unit06

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Question 2 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 3 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 4 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 5 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 6 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 7 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 8 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 9 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 10 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 11 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 6 Exercise 7.2 @math-11-kpk:sol:unit07

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Question 10 Exercise 7.2 @math-11-kpk:sol:unit07

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Question 1, Exercise 10.2 @math-11-kpk:sol:unit10

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Question 5, Exercise 1.1 @math-11-nbf:sol:unit01

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Question 1, Exercise 1.2 @math-11-nbf:sol:unit01

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Question 2, Exercise 1.2 @math-11-nbf:sol:unit01

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Question 4, Exercise 1.2 @math-11-nbf:sol:unit01

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Question 5, Exercise 1.2 @math-11-nbf:sol:unit01

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Question 6, Exercise 1.2 @math-11-nbf:sol:unit01

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Question 7, Exercise 1.2 @math-11-nbf:sol:unit01

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Question 3, Exercise 1.4 @math-11-nbf:sol:unit01

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Question 4, Exercise 1.4 @math-11-nbf:sol:unit01

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Question 5, Exercise 1.4 @math-11-nbf:sol:unit01

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Question 10, Exercise 1.4 @math-11-nbf:sol:unit01

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Question 4, Review Exercise @math-11-nbf:sol:unit01

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Question 6, Review Exercise @math-11-nbf:sol:unit01

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Question 7, Review Exercise @math-11-nbf:sol:unit01

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Question 3, Exercise 2.1 @math-11-nbf:sol:unit02

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Question 3, Exercise 2.2 @math-11-nbf:sol:unit02

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Question 3, Exercise 2.2 @math-11-nbf:sol:unit02

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Question 5, Exercise 2.2 @math-11-nbf:sol:unit02

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Question 6, Exercise 2.2 @math-11-nbf:sol:unit02

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Question 8, Exercise 2.2 @math-11-nbf:sol:unit02

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Question 9, Exercise 2.2 @math-11-nbf:sol:unit02

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Question 10, Exercise 2.2 @math-11-nbf:sol:unit02

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Question 11, Exercise 2.2 @math-11-nbf:sol:unit02

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Question 12, Exercise 2.2 @math-11-nbf:sol:unit02

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Question 6, Exercise 2.3 @math-11-nbf:sol:unit02

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Question 9 and 10, Exercise 2.6 @math-11-nbf:sol:unit02

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Question 4 and 5, Review Exercise @math-11-nbf:sol:unit02

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Question 1 and 2, Exercise 4.1 @math-11-nbf:sol:unit04

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Question 21 and 22, Exercise 4.1 @math-11-nbf:sol:unit04

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Question 16 and 17, Exercise 4.2 @math-11-nbf:sol:unit04

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Question 1 and 2, Exercise 4.3 @math-11-nbf:sol:unit04

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Question 25 and 26, Exercise 4.3 @math-11-nbf:sol:unit04

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Question 1 and 2, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 1 and 2, Exercise 4.5 @math-11-nbf:sol:unit04

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Question 15, Exercise 4.5 @math-11-nbf:sol:unit04

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Question 1 and 2, Exercise 4.6 @math-11-nbf:sol:unit04

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Question 11, Exercise 4.6 @math-11-nbf:sol:unit04

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Question 1 and 2, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 29 and 30, Exercise 4.7 @math-11-nbf:sol:unit04

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Question 1 and 2, Exercise 4.8 @math-11-nbf:sol:unit04

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Question 1, Exercise 5.1 @math-11-nbf:sol:unit05

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Question 1 and 2, Exercise 5.2 @math-11-nbf:sol:unit05

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Question 7 and 8, Exercise 5.2 @math-11-nbf:sol:unit05

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Question 2, Exercise 5.3 @math-11-nbf:sol:unit05

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Question 3, Exercise 5.3 @math-11-nbf:sol:unit05

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Question 4, Exercise 5.3 @math-11-nbf:sol:unit05

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Question 5, Exercise 5.3 @math-11-nbf:sol:unit05

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Question 6, Review Exercise @math-11-nbf:sol:unit05

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Question 7, Review Exercise @math-11-nbf:sol:unit05

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Question 7, Exercise 8.1 @math-11-nbf:sol:unit08

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Question 8, Exercise 8.1 @math-11-nbf:sol:unit08

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Question 14, Exercise 8.1 @math-11-nbf:sol:unit08

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Question 3(vi, vii, viii, ix & x) Exercise 8.3 @math-11-nbf:sol:unit08

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Question 4 Exercise 8.3 @math-11-nbf:sol:unit08

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Question 9, Review Exercise @math-11-nbf:sol:unit08

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Question 4, Review Exercise @math-11-nbf:sol:unit09

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Question 7, Review Exercise @math-11-nbf:sol:unit09

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Question 8, Review Exercise @math-11-nbf:sol:unit09

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Question 9, Review Exercise @math-11-nbf:sol:unit09

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FSc Part 1 (Mathematics): KPK

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FSc/ICS Part 1 (Mathematics): KPK

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PPSC General Information, Syllabus, Paper Pattern

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MTH322: Real Analysis II (Fall 2016) @atiq

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MTH321: Real Analysis I (Fall 2021) @atiq

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MTH322: Real Analysis II (Spring 2017) @atiq

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MTH321: Real Analysis I (Spring 2020) @atiq

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MCQs/Objective: HSSC-I @fsc

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MCQs/Objective: HSSC-II @fsc

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Chapter 01: Number System @fsc:fsc_part_1_solutions

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Chapter 04: Quadratic Equations @fsc:fsc_part_1_solutions

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Chapter 05: Partial Fractions @fsc:fsc_part_1_solutions

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Chapter 07: Permutation, Combination and Probability @fsc:fsc_part_1_solutions

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Chapter 08: Mathematical Induction and Binomial Theorem @fsc:fsc_part_1_solutions

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Chapter 09: Fundamentals of Trigonometry @fsc:fsc_part_1_solutions

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Chapter 10: Trigonometric Identities @fsc:fsc_part_1_solutions

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Chapter 11: Trigonometric Functions and their Graphs @fsc:fsc_part_1_solutions

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Chapter 12: Application of Trigonometry @fsc:fsc_part_1_solutions

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Chapter 13: Inverse Trigonometric Functions @fsc:fsc_part_1_solutions

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Chapter 14: Solutions of Trigonometric Equation @fsc:fsc_part_1_solutions

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MCQs-Short Questions by Mr. Parvez Khan @fsc:fsc_part_2_mcqs

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Real Analysis: Short Questions and MCQs @msc:mcqs_short_questions

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Topology: Short Questions and MCQs @msc:mcqs_short_questions

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Question 1, Exercise 1.2 @fsc-part1-kpk:sol:unit01

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Question 1, Review Exercise 1 @fsc-part1-kpk:sol:unit01

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Question 1, Review Exercise 10 @fsc-part1-kpk:sol:unit10

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Question 1, Exercise 1.2 @math-11-kpk:sol:unit01

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Question 1, Review Exercise 1 @math-11-kpk:sol:unit01

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Question 1, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 19, Exercise 2.2 @math-11-kpk:sol:unit02

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Question 4, Exercise 2.3 @math-11-kpk:sol:unit02

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Question 1 Review Exercise 3 @math-11-kpk:sol:unit03

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Question 17 Exercise 4.2 @math-11-kpk:sol:unit04

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Question 12 Exercise 4.4 @math-11-kpk:sol:unit04

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Question 2 & 3 Exercise 5.1 @math-11-kpk:sol:unit05

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Question 1 Exercise 5.3 @math-11-kpk:sol:unit05

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Question 6 Exercise 5.3 @math-11-kpk:sol:unit05

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Question 4 Exercise 5.4 @math-11-kpk:sol:unit05

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Question 1 Review Exercise 5 @math-11-kpk:sol:unit05

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Question 10 Review Exercise @math-11-kpk:sol:unit05

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Question 4 Exercise 6.1 @math-11-kpk:sol:unit06

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Question 10 Exercise 6.5 @math-11-kpk:sol:unit06

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Question 11 Review Exercise 6 @math-11-kpk:sol:unit06

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Question 1 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 15 Exercise 7.1 @math-11-kpk:sol:unit07

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Question 8 Exercise 7.2 @math-11-kpk:sol:unit07

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Question 9 Exercise 7.2 @math-11-kpk:sol:unit07

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Question 2 Exercise 7.3 @math-11-kpk:sol:unit07

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Question 3 Exercise 7.3 @math-11-kpk:sol:unit07

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Question 4 Exercise 7.3 @math-11-kpk:sol:unit07

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Question 5 and 6 Exercise 7.3 @math-11-kpk:sol:unit07

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Question 7 and 8 Exercise 7.3 @math-11-kpk:sol:unit07

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Question 9 Exercise 7.3 @math-11-kpk:sol:unit07

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Question 10 Exercise 7.3 @math-11-kpk:sol:unit07

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Question 11 Exercise 7.3 @math-11-kpk:sol:unit07

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Question 12 Exercise 7.3 @math-11-kpk:sol:unit07

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Question 13 Exercise 7.3 @math-11-kpk:sol:unit07

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Question 2 Review Exercise 7 @math-11-kpk:sol:unit07

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Question 3 & 4 Review Exercise 7 @math-11-kpk:sol:unit07

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Question 5 & 6 Review Exercise 7 @math-11-kpk:sol:unit07

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Question 9 and 10 Review Exercise 7 @math-11-kpk:sol:unit07

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Question 1, Review Exercise 10 @math-11-kpk:sol:unit10

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Question 1, Review Exercise @math-11-nbf:sol:unit01

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Question 8, Review Exercise @math-11-nbf:sol:unit01

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Question 13, Exercise 2.2 @math-11-nbf:sol:unit02

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Question 1, Review Exercise @math-11-nbf:sol:unit02

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Question 30, Exercise 4.4 @math-11-nbf:sol:unit04

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Question 16, Exercise 4.5 @math-11-nbf:sol:unit04

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Question 12, Exercise 4.6 @math-11-nbf:sol:unit04

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Question 10, Exercise 5.1 @math-11-nbf:sol:unit05

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Question 1, Exercise 5.3 @math-11-nbf:sol:unit05

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Question 6, Exercise 5.3 @math-11-nbf:sol:unit05

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Question 2, Review Exercise @math-11-nbf:sol:unit05

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Question 1, Review Exercise @math-11-nbf:sol:unit05

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Question 8, Review Exercise @math-11-nbf:sol:unit05

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Question 8, Review Exercise @math-11-nbf:sol:unit05

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Question 3(i, ii, iii, iv & v) Exercise 8.3 @math-11-nbf:sol:unit08

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Question 1, Review Exercise @math-11-nbf:sol:unit08

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Question 10, Exercise 9.1 @math-11-nbf:sol:unit09

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Question 2 and 3,Review Exercise @math-11-nbf:sol:unit09

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Question 4, Review Exercise @math-11-nbf:sol:unit09

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Exercise 2.5 (Solutions) @matric:9th_science:unit_02

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Exercise 11.1 (Solutions) @matric:9th_science:unit11

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FSc/ICS Part 2 (Mathematics): PTB

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MTH322: Real Analysis II (Fall 2017) @atiq

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MATH-510: Topology @atiq

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MTH322: Real Analysis II (Spring 2016) @atiq

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Mathematics 9 (Science Group) @matric

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Quotes for the April @quote-of-the-day

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MCQs or Short Questions @atiq:sp15-mth321

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Ch 02: Functions and Groups @fsc-part1-ptb:important-questions

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Unit 02: Differentiation @fsc:fsc_part_2_solutions

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Exercise 4.1 @matric:9th_science

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Syllabus for UoS (Private only) @msc:syllabus

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University of Sargodha (Old Papers): BSc (Mathematics only) @papers:old_papers_for_bsc_mathematics

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Question 5 Exercise 6.1 @math-11-kpk:sol:unit06

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Question 9 Exercise 6.3 @math-11-kpk:sol:unit06

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Question 1 Review Exercise 6 @math-11-kpk:sol:unit06

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Question 11 Exercise 7.2 @math-11-kpk:sol:unit07

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Question 1 Exercise 7.3 @math-11-kpk:sol:unit07

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Question 14 Exercise 7.3 @math-11-kpk:sol:unit07

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Question 1 Review Exercise 7 @math-11-kpk:sol:unit07

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Question 7 & 8 Review Exercise 7 @math-11-kpk:sol:unit07

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Question 11 Review Exercise 7 @math-11-kpk:sol:unit07

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Question 3(xi, xii & xiii) Exercise 8.3 @math-11-nbf:sol:unit08

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Question 1,Review Exercise @math-11-nbf:sol:unit09

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Exercise 2.2 (Solutions) @matric:9th_science:unit_02

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Exercise 2.3 (Solutions) @matric:9th_science:unit_02

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Exercise 2.4 (Solutions) @matric:9th_science:unit_02

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Mathematics 1 for FSc ICS (NBF)

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BS/MSc

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Tests by Mobeen Munir @bsc

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Question Paper/Model Paper/Paper Pattern HSSC-I: BISE @fsc-part1-ptb

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Multiple Choice Questions (MCQs) @fsc-part1-ptb

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Chap 04: Formulas Introduction to Analytics Geometry @fsc

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Fundamental of Complex Analysis (Solutions of Some Exercises) @notes

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Real Analysis Notes by Prof Syed Gul Shah @notes

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Muhammad Fiaz Hussain @people

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PPSC Paper 2015 (Lecturer in Mathematics) @ppsc

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Syllabus/Model Papers for Sargodha University @bsc:paper_pattern

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Unit 01: Functions and Limits @fsc-part2-ptb:important-questions

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Unit 02: Differentiation @fsc-part2-ptb:important-questions

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Unit 03: Integration @fsc-part2-ptb:important-questions

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Unit 04: Introduction to Analytic Geometry @fsc-part2-ptb:important-questions

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Unit 05: Linear Inequalities and Linear Programming @fsc-part2-ptb:important-questions

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Unit 06: Conic section @fsc-part2-ptb:important-questions

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Unit 07: Vectors @fsc-part2-ptb:important-questions

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How to prepare admission test (A short guide) @papers:old_admission_test_of_assms_for_ph.d._mathematics

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A-Course of Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university

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Applied Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university

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B-Course of Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university

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General Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university

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Pure Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university

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FSc

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Notes of Mathematics

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Participate

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Things to do

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MTH321: Real Analysis I (Fall 2019) @atiq

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MTH611: Integral Inequalities (Fall 2019) @atiq

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MTH424: Convex Analysis (Fall 2020) @atiq

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MTH322: Real Analysis II (Fall 2021) @atiq

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MTH321: Real Analysis I (Fall 2022) @atiq

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MTH604: Fixed Point Theory and Applications (Fall 2022) @atiq

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MTH480: Introductory Quantum Mechanics @atiq

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MATH-608: History of Mathematics @atiq

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MTH604: Fixed Point Theory and Applications @atiq

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MTH604: Fixed Point Theory and Applications (Spring 2020) @atiq

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MTH604: Fixed Point Theory and Applications (Spring 2021) @atiq

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MTH480: Introductory Quantum Mechanics @atiq

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What is the value of pi? @dyk

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Is it difficult to answer? 1−−−0.999… @dyk

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Important Questions @fsc-part1-kpk

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Multiple Choice Questions (MCQs) @fsc-part1-kpk

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Solution & Area of Oblique Triangle @fsc

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Important Questions @math-11-kpk

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Multiple Choice Questions (MCQs) @math-11-kpk

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MCQs: Math 11 NBF @math-11-nbf

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Mathematics 10 (Science Group) @matric

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Computing Tools for Mathematics by Asif Arshad @notes

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Iqra Liaqat @people

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Kaushef Salamat @people

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PPSC Paper 2011 (Lecturer in Mathematics) @ppsc

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PPSC Paper 2021 (Lecturer in Mathematics) @ppsc

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PPSC Mock Interview Lecturer Mathematics @ppsc

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Quotes for the May @quote-of-the-day

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DokuWiki @wiki

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Chapter 03: Matrices @bsc:notes_of_mathematical_method

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Chapter 04: System of Linear Equations @bsc:notes_of_mathematical_method

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Ch 01: Number Systems @fsc-part1-ptb:important-questions

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Ch 03: Matrices and Determinants @fsc-part1-ptb:important-questions

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Ch 04: Quadratic Equations @fsc-part1-ptb:important-questions

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Ch 05: Partial Fraction @fsc-part1-ptb:important-questions

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Ch 06: Sequences and Series @fsc-part1-ptb:important-questions

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Ch 07: Permutation, Combination and Probability @fsc-part1-ptb:important-questions

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Ch 08: Mathematical Induction and Binomial Theorem @fsc-part1-ptb:important-questions

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Ch 09: Fundamental of Trigonometry @fsc-part1-ptb:important-questions

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Ch 10: Trigonometric Identities @fsc-part1-ptb:important-questions

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Ch 11: Trigonometric Functions and Their Graphs @fsc-part1-ptb:important-questions

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Ch 12: Applications of Trigonometry @fsc-part1-ptb:important-questions

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Ch 13: Inverse Trigonometry Functions @fsc-part1-ptb:important-questions

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Ch 14: Solutions of Trigonometric Equation @fsc-part1-ptb:important-questions

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Unit 07: Vectors @fsc:fsc_part_2_solutions

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Exercise 6.3 @matric:9th_science

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Chapter 04 - Differentiation @msc:real_analysis_notes_by_syed_gul_shah

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Ch 01: Number System: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch01

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Ch 02: Sets, Functions and Groups: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch02

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Ch 05: Partial Fractions: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch05

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Ch 06: Sequences and Series: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch06

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Ch 07: Permutation, Combination and Probability: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch07

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Ch 08: Mathematical Induction and Binomial Theorem: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch08

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Ch 09: Fundamentals of Trigonometry: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch09

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Ch 10: Trigonometric Identities: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch10

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Ch 12: Application of Trigonometry: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch12

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Ch 13: Inverse Trigonometric Functions: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch13

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Ch 14: Solutions of Trigonometric Equation @fsc:fsc_part_1_solutions:ch14

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Unit 02: Differentiation: Mathematics FSc part 2 @fsc:fsc_part_2_solutions:ch02

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Unit 03: Differentiation: Mathematics FSc part 2 @fsc:fsc_part_2_solutions:ch03

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Unit 04: Introduction to Analytic Geometry: Mathematics FSc part 2 @fsc:fsc_part_2_solutions:ch04

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Unit 05: Linear Inequalities and Linear Programming: Mathematics FSc part 2 @fsc:fsc_part_2_solutions:ch05

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Unit 06: Conic Section: Mathematics FSc part 2 @fsc:fsc_part_2_solutions:ch06

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Unit 07: Vectors: Mathematics FSc part 2 @fsc:fsc_part_2_solutions:ch07

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