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Fulltext results:

Khuram Ali Khan
83 Hits, Last modified: 5 months ago
ns and Related Results, J. Inequal. Appl., Vol. 2010, 16 pages, (Published on October 18, 2010), Impact Factor 0.879. ([[http://www.journalofinequalitiesandapplications.com/content/2010/1/289730|Link]]) - Laszlo Horvath, Khuram Ali K... y 2014) Impact Factor 0.877. ([[http://dx.doi.org/10.1155/2014/375890|Link]]) - Khuram Ali Khan, Jos
Chapter 10: Higher Order Linear Differential Equations @bsc:notes_of_mathematical_method
51 Hits, Last modified: 5 months ago
====== Chapter 10: Higher Order Linear Differential Equations ====== Notes of the book Mathematical Me... e="Notes by Shariq Mehtab Syed:"> * **Exercise 10.1** | VIEW [[:BSc:Notes of Mathematical Method:Ch... Linear Differential Equations:Viewer?f=ch10/Chap-10-Solutions-Ex-10-1-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch10/Chap-10-Solutions-Ex
Exercise 2.6 (Solutions) @matric:9th_science:unit_02
38 Hits, Last modified: 5 months ago
dot\sqrt{-3} = 3$\\ (ii) $i^{73}=-i$\\ (iii) $i^{10} = -1$\\ (iv) Complex conjugate of $(-6i + i^2) ... (ii) $$\begin{array}{cl} 2(5+4i)-3(7+4i) &= 10+8i-21-12i\\ &= 10-21+8i-12i\\ &= -11-4i \end{array}$$ (iii) $$\begin{array}{cl} -(-3+5i)-(4+... rac{27-9i-21i+7i^2}{9+1}\\ &= \frac{27-30i-7}{10}\\ &= \frac{20-30i}{10} \end{array}$$ (iv) $
Question 12 Exercise 7.1 @math-11-kpk:sol:unit07
34 Hits, Last modified: 5 months ago
===== Show by mathematical induction that $\dfrac{10^{n+1}-9 n-10}{81}$ is an integer. ====Solution==== 1. For $n=1$ then \begin{align}\dfrac{10^{n+1}-9 n-10}{81}&=\dfrac{10^{i+1}-9.1-10}{81} \\ & =\dfrac{100-9-10}{81}=1 \in \mathbb{Z}\end{align}
Chapter 10: Viewer @bsc:notes_of_mathematical_method:ch10_higher_order_linear_differential_equations
33 Hits, Last modified: 5 months ago
====== Chapter 10: Viewer ====== Notes of Chapter 10: Higher Order Linear Differential Equations of Mathematical Method... is the list of all available exercise of Chapter 10 ==== **Shariq Mehtab Syed** * [[:BSc:Notes of ... Linear Differential Equations :Viewer?f=ch10/Chap-10-Solutions-Ex-10-1-Method|Exercise 10.1]] * [[:
Chapter 10: Trigonometric Identities @fsc:fsc_part_1_solutions
25 Hits, Last modified: 5 months ago
====== Chapter 10: Trigonometric Identities ====== {{ :fsc:fsc_part_1_solutions:fsc-1-chap-10-ptb.jpg?nolink|Chapter 10: Trigonometric Identities}} Notes (Solutions) of Chapter 10: Trigonometric Identities, Text Book of Algebra a
Question 10, Exercise 1.2 @math-11-nbf:sol:unit01
20 Hits, Last modified: 5 months ago
====== Question 10, Exercise 1.2 ====== Solutions of Question 10 of Exercise 1.2 of Unit 01: Complex Numbers. This is un... extbook Board, Islamabad, Pakistan. ====Question 10(i)==== For $z_{1}=-3+2 i$, verify: $$\left|z_{1}\... ht| = \sqrt{13}.$$ As required. GOOD ====Question 10(ii)==== For $z_{1}=-3+2 i$ and $z_{2}=1-3 i$ veri
Question 13 Exercise 6.2 @math-11-kpk:sol:unit06
19 Hits, Last modified: 5 months ago
e total number of letters in 'Excellence' are: $n=10$, out of which $m_1=4$ are $E, m_2=2$ are $L$ and... m_3 \end{array}\right)\\&=\left(\begin{array}{c} 10 \\ 4,2,2 \end{array}\right) \\ & =\dfrac{10 !}{4 ! \cdot 2 ! \cdot 2 !}\\ &=37,800 \end{align} Begin ... e total number of letters in 'Excellence' are: $n=10$, out of which $m_1=4$ are $E$, $m_2=2$ are $L
B-Course of Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university
18 Hits, Last modified: 5 months ago
fo 60%> This subject is consists of two papers of 100 marks each. One is called “Paper A” and other is... ion| |Chapter 8 |Simple harmonic motion| ^Chapter 10 (Mechanics)^| |Chapter 10 |Projectile motion| |Chapter 10 |Motion along horizontal and vertical circles| ^Chapter 12 (Mechanics
Question 13 & 14 Exercise 4.5 @math-11-kpk:sol:unit04
18 Hits, Last modified: 5 months ago
from which it is dropped. If it is dropped from $10 \mathrm{ft}$, how far does it travel from the mom... s eighth bounce? ====Solution==== \begin{align}S&=10+[10(\dfrac{1}{2})+10(\dfrac{1}{2})]+ \\ & {[10(\dfrac{1}{2})^2+10(\dfrac{1}{2})^2]+\ldots} \\ & +[10(\dfr
Question 3 Exercise 7.2 @math-11-kpk:sol:unit07
17 Hits, Last modified: 5 months ago
dent of $x$ in the expansion $(x-\dfrac{3}{x^4})^{10}$ ====Solution==== In the above expansion $n=10, \quad a=x$ and $b=-\dfrac{3}{x^4}$. Let $T_{r+1}$ b... given expansion is: \begin{align} T_{r+1}&=\dfrac{10 !}{(10-r) ! r !}(x)^{10 \cdot r}(-\dfrac{3}{x^4})^r \\ & =\dfrac{10 !}{(10-r) ! r !} \cdot(-3)^r x^{1
Question 29 and 30, Exercise 4.7 @math-11-nbf:sol:unit04
16 Hits, Last modified: 5 months ago
nd sum to infinity of the series: $$1+4 x+7 x^{2}+10 x^{3}+\ldots$$ ** Solution. ** The given arithm... as:\\ \[ 1 \times 1 + 4 \times x + 7 \times x^2 + 10 \times x^3 + \ldots \] The numbers \(1, 4, 7, 10, \ldots\) are in AP with \(a = 1\) and \(d = 4 - 1... Find sum to infinity of the series: $$3+\frac{6}{10}+\frac{9}{100}+\frac{12}{1000}+\ldots$$ ** Solut
Umer Asghar @people
15 Hits, Last modified: 5 months ago
od-Umer-Asghar.pdf|Download PDF}} * **Exercise 10.1 (BSc Mathematical Method)** | VIEW [[:BSc:Notes... Linear Differential Equations:Viewer?f=ch10/Chap-10-Solutions-Ex-10-1-Method-Umer-Asghar|View online]] | [[pdf>files/bsc/method/dn.php?file=ch10/Chap-10-Solutions-Ex-10-1-Method-Umer-Asghar.pdf|Download
Ch 10: Trigonometric Identities: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch10
15 Hits, Last modified: 5 months ago
====== Ch 10: Trigonometric Identities: Mathematics FSc Part 1 ====== Notes (Solutions) of Chapter 10: Trigonometric Identities, Text Book of Algebra a... ====Here is the list of all exercises of Chapter 10==== * [[vfsc1>ch10:view&cp=01&p=06&ch=10&fp=Ex-10-1-FSC-part1-ver3-1|Exercise 10.1]] * [[vfsc1>
View Online (Solutions of Chapter 10) @fsc:fsc_part_1_solutions:ch10
15 Hits, Last modified: 5 months ago
====== View Online (Solutions of Chapter 10) ====== Notes (Solutions) of Chapter 10: Trigonometric Identities, Text Book of Algebra and Trigonome... ====Here is the list of all exercises of Chapter 10==== * [[mdoku>fsc:fsc_part_1_solutions:ch10:viewer&cp=1&p=4&ch=10&fp=Ex_10_1_FSC_part1|Exercise 10.1]] * [[mdok
Question 5 & 6 Review Exercise 7 @math-11-kpk:sol:unit07
15 Hits, Last modified: 5 months ago
Key to MCQs by Muhammad Imran Qureshi @fsc:fsc_part_1_mcqs:mcqs_by_muhammad_imran_qureshi
14 Hits, Last modified: 5 months ago
Question 5 Exercise 7.2 @math-11-kpk:sol:unit07
13 Hits, Last modified: 5 months ago
Question 8 Exercise 7.2 @math-11-kpk:sol:unit07
12 Hits, Last modified: 5 months ago
Question 4, Exercise 2.6 @math-11-nbf:sol:unit02
12 Hits, Last modified: 5 months ago
General Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university
11 Hits, Last modified: 5 months ago
Question 4 Review Exercise @math-11-kpk:sol:unit05
11 Hits, Last modified: 5 months ago
Question 5 Exercise 6.4 @math-11-kpk:sol:unit06
11 Hits, Last modified: 5 months ago
Question 6, Exercise 2.6 @math-11-nbf:sol:unit02
11 Hits, Last modified: 5 months ago
Question 5 and 6, Exercise 4.1 @math-11-nbf:sol:unit04
11 Hits, Last modified: 5 months ago
MCQs: Ch 01 Number Systems @fsc-part1-ptb:mcq-bank
10 Hits, Last modified: 5 months ago
Exercise 6.1 @matric:9th_science
10 Hits, Last modified: 5 months ago
Question 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10
10 Hits, Last modified: 5 months ago
Question 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10
10 Hits, Last modified: 5 months ago
Question 5 & 6 Exercise 4.5 @math-11-kpk:sol:unit04
10 Hits, Last modified: 5 months ago
Question 7 Exercise 6.4 @math-11-kpk:sol:unit06
10 Hits, Last modified: 5 months ago
Question 5, Exercise 10.3 @math-11-kpk:sol:unit10
10 Hits, Last modified: 5 months ago
Question 5, Exercise 10.3 @math-11-kpk:sol:unit10
10 Hits, Last modified: 5 months ago
Question 1 and 2, Exercise 4.1 @math-11-nbf:sol:unit04
10 Hits, Last modified: 5 months ago
Question 1 and 2, Exercise 4.8 @math-11-nbf:sol:unit04
10 Hits, Last modified: 5 months ago
Question 10, Exercise 8.1 @math-11-nbf:sol:unit08
10 Hits, Last modified: 5 months ago
Chapter 04: Quadratic Equations @fsc:fsc_part_1_solutions
9 Hits, Last modified: 5 months ago
Question 16 & 17, Exercise 2.2 @math-11-kpk:sol:unit02
9 Hits, Last modified: 5 months ago
Question 1 Exercise 4.5 @math-11-kpk:sol:unit04
9 Hits, Last modified: 5 months ago
Question 1 and 2 Exercise 6.1 @math-11-kpk:sol:unit06
9 Hits, Last modified: 5 months ago
Question 2 Exercise 7.2 @math-11-kpk:sol:unit07
9 Hits, Last modified: 5 months ago
Question 9 and 10, Exercise 4.1 @math-11-nbf:sol:unit04
9 Hits, Last modified: 5 months ago
Question 7 and 8, Exercise 4.7 @math-11-nbf:sol:unit04
9 Hits, Last modified: 5 months ago
Question 5 and 6, Exercise 4.8 @math-11-nbf:sol:unit04
9 Hits, Last modified: 5 months ago
Question 10(vi-x), Review Exercise @math-11-nbf:sol:unit09
9 Hits, Last modified: 5 months ago
Atiq ur Rehman, PhD
8 Hits, Last modified: 5 months ago
Unit 04: Sequences and Seeries @math-11-nbf:sol
8 Hits, Last modified: 5 months ago
Question 1 Exercise 7.2 @math-11-kpk:sol:unit07
8 Hits, Last modified: 5 months ago
Question 3 and 4, Exercise 4.1 @math-11-nbf:sol:unit04
8 Hits, Last modified: 5 months ago
Question 10(i-v), Review Exercise @math-11-nbf:sol:unit09
8 Hits, Last modified: 5 months ago
Question 10(xi-xv), Review Exercise @math-11-nbf:sol:unit09
8 Hits, Last modified: 5 months ago
Mathematics 9 (Science Group) @matric
7 Hits, Last modified: 5 months ago
Chapter 06: Sequences and Series @fsc:fsc_part_1_solutions
7 Hits, Last modified: 5 months ago
Question 6 Exercise 4.1 @math-11-kpk:sol:unit04
7 Hits, Last modified: 5 months ago
Question 3 Exercise 5.3 @math-11-kpk:sol:unit05
7 Hits, Last modified: 5 months ago
Question 8, Exercise 1.2 @math-11-nbf:sol:unit01
7 Hits, Last modified: 5 months ago
Question 2, Exercise 2.5 @math-11-nbf:sol:unit02
7 Hits, Last modified: 5 months ago
Question 5, Exercise 2.6 @math-11-nbf:sol:unit02
7 Hits, Last modified: 5 months ago
Question 5 and 6, Exercise 4.3 @math-11-nbf:sol:unit04
7 Hits, Last modified: 5 months ago
Question 17, 18 and 19, Exercise 4.3 @math-11-nbf:sol:unit04
7 Hits, Last modified: 5 months ago
Question 7 and 8, Exercise 4.5 @math-11-nbf:sol:unit04
7 Hits, Last modified: 5 months ago
Question 2(i, ii, iii, iv and v) Exercise 8.3 @math-11-nbf:sol:unit08
7 Hits, Last modified: 5 months ago
CHEM-501: Basic Mathematics for Chemist @atiq
6 Hits, Last modified: 5 months ago
MATH-300: Basic Mathematics for Chemist @atiq
6 Hits, Last modified: 5 months ago
Is it difficult to answer? 1−−−0.999… @dyk
6 Hits, Last modified: 5 months ago
Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions) @fsc-part1-kpk:sol
6 Hits, Last modified: 5 months ago
Unit 02: Differentiation @fsc:fsc_part_2_solutions
6 Hits, Last modified: 5 months ago
Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions) @math-11-kpk:sol
6 Hits, Last modified: 5 months ago
Question 9 and 10, Exercise 10.1 @fsc-part1-kpk:sol:unit10
6 Hits, Last modified: 5 months ago
Question 1, Exercise 2.1 @math-11-kpk:sol:unit02
6 Hits, Last modified: 5 months ago
Question 11 Exercise 6.2 @math-11-kpk:sol:unit06
6 Hits, Last modified: 5 months ago
Question 12 Exercise 6.2 @math-11-kpk:sol:unit06
6 Hits, Last modified: 5 months ago
Question 7 and 8 Exercise 6.3 @math-11-kpk:sol:unit06
6 Hits, Last modified: 5 months ago
Question 10 Exercise 6.5 @math-11-kpk:sol:unit06
6 Hits, Last modified: 5 months ago
Question 1 Review Exercise 7 @math-11-kpk:sol:unit07
6 Hits, Last modified: 5 months ago
Question 9 and 10, Exercise 10.1 @math-11-kpk:sol:unit10
6 Hits, Last modified: 5 months ago
Question 1, Exercise 1.3 @math-11-nbf:sol:unit01
6 Hits, Last modified: 5 months ago
Question 7 and 8, Exercise 4.1 @math-11-nbf:sol:unit04
6 Hits, Last modified: 5 months ago
Question 1, Exercise 4.2 @math-11-nbf:sol:unit04
6 Hits, Last modified: 5 months ago
Question 8 and 9, Exercise 4.4 @math-11-nbf:sol:unit04
6 Hits, Last modified: 5 months ago
MCQs: Math 11 NBF @math-11-nbf
5 Hits, Last modified: 5 months ago
PPSC Paper 2011 (Lecturer in Mathematics) @ppsc
5 Hits, Last modified: 5 months ago
Real Analysis: Short Questions and MCQs @msc:mcqs_short_questions
5 Hits, Last modified: 5 months ago
Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
5 Hits, Last modified: 5 months ago
Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
5 Hits, Last modified: 5 months ago
Question 7 & 8 Exercise 3.4 @math-11-kpk:sol:unit03
5 Hits, Last modified: 5 months ago
Question 4 & 5 Exercise 4.4 @math-11-kpk:sol:unit04
5 Hits, Last modified: 5 months ago
Question 10, Exercise 1.4 @math-11-nbf:sol:unit01
5 Hits, Last modified: 5 months ago
Question 1, Review Exercise @math-11-nbf:sol:unit01
5 Hits, Last modified: 5 months ago
Question 1 and 2, Exercise 4.5 @math-11-nbf:sol:unit04
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Question 10, Exercise 5.1 @math-11-nbf:sol:unit05
5 Hits, Last modified: 5 months ago
Question 10, Review Exercise @math-11-nbf:sol:unit08
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MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
4 Hits, Last modified: 5 months ago
MCQs by Nauman Idrees @fsc:fsc_part_1_mcqs
4 Hits, Last modified: 5 months ago
Unit 04: Sequence and Series (Solutions) @math-11-kpk:sol
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Unit 09: Trigonometric Functions @math-11-nbf:sol
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Review exercise @matric:9th_science
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Applied Mathematics @bsc:paper_pattern:sargodha_university
4 Hits, Last modified: 5 months ago
Question 8, 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 8, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question11 and 12, Exercise 10.1 @fsc-part1-kpk:sol:unit10
4 Hits, Last modified: 5 months ago
Question 1, Exercise 10.2 @fsc-part1-kpk:sol:unit10
4 Hits, Last modified: 5 months ago
Question 3, Exercise 10.2 @fsc-part1-kpk:sol:unit10
4 Hits, Last modified: 5 months ago
Ch 06: Sequences and Series: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch06
4 Hits, Last modified: 5 months ago
Unit 02: Differentiation: Mathematics FSc part 2 @fsc:fsc_part_2_solutions:ch02
4 Hits, Last modified: 5 months ago
Question 8, 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 14 & 15, Exercise 2.2 @math-11-kpk:sol:unit02
4 Hits, Last modified: 5 months ago
Question 2, Exercise 2.3 @math-11-kpk:sol:unit02
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Question 4, Exercise 2.3 @math-11-kpk:sol:unit02
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Question 7 & 8 Exercise 3.3 @math-11-kpk:sol:unit03
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Question 10 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 10 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 1 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 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 8, 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 1, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 3, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 2, Exercise 1.1 @math-11-nbf:sol:unit01
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Question 3, Review Exercise @math-11-nbf:sol:unit01
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Question 17 and 18, Exercise 4.1 @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 14 and 15, Exercise 4.2 @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 7 and 8, Exercise 4.8 @math-11-nbf:sol:unit04
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Question 7, Review Exercise @math-11-nbf:sol:unit08
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Exercise 2.4 (Solutions) @matric:9th_science:unit_02
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MATH-510: Topology @atiq
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MTH251: Set Topology @atiq
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Mathematics 10 (Science Group) @matric
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Chapter 08: Analytic Geometry of Three Dimensions @bsc:notes_of_calculus_with_analytic_geometry
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Unit 06: Conic section @fsc-part2-ptb:important-questions
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MCQs by Muhammad Imran Qureshi @fsc:fsc_part_1_mcqs
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Chapter 03: Matrices and Determinants @fsc:fsc_part_1_solutions
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Unit 03: Vectors (Solutions) @math-11-kpk:sol
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Unit 06: Permutation, Combination and Probability (Solutions) @math-11-kpk:sol
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Unit 07: Mathmatical Induction and Binomial Theorem (Solutions) @math-11-kpk:sol
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Question 9 & 10, Exercise 1.1 @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 3, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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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 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 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 6, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 7, 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 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 3, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 1, Review Exercise 10 @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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Ch 10: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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View Online (Solutions of Chapter 03) @fsc:fsc_part_1_solutions:ch03
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View Online (Solutions of Chapter 03) @fsc:fsc_part_1_solutions:ch03
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View Online (Notes of Chapter 04) @fsc:fsc_part_1_solutions:ch04
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View Online (Solutions of Chapter 04) @fsc:fsc_part_1_solutions:ch04
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Question 9 & 10, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 2, 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 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 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 9 & 10, Exercise 3.3 @math-11-kpk:sol:unit03
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Question 9 & 10 Exercise 4.3 @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 10 Exercise 4.4 @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 8 Review Exercise @math-11-kpk:sol:unit05
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Question 10 Review Exercise @math-11-kpk:sol:unit05
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Question 9 & 10 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 10 Exercise 7.1 @math-11-kpk:sol:unit07
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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 3, Exercise 10.1 @math-11-kpk:sol:unit10
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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 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 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 6, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 7, 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 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 3, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 1, Review Exercise 10 @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 6(i-ix), Exercise 1.4 @math-11-nbf:sol:unit01
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Question 10, Exercise 2.2 @math-11-nbf:sol:unit02
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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 9 and 10, Exercise 2.6 @math-11-nbf:sol:unit02
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Question 21 and 22, Exercise 4.1 @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 9 and 10, Exercise 4.3 @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 9 and 10, Exercise 4.5 @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 1 and 2, 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 25 and 26, Exercise 4.7 @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 7 and 8, Exercise 5.2 @math-11-nbf:sol:unit05
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Question 1, Exercise 5.3 @math-11-nbf:sol:unit05
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Question 10, Exercise 9.1 @math-11-nbf:sol:unit09
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Mathematics CUI: LaTeX Resources
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MathCraft
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MTH321: Real Analysis I (Fall 2021) @atiq
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MTH604: Fixed Point Theory and Applications (Spring 2020) @atiq
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3rd International Conference on Pure and Applied Mathematics UoS Sargodha (November 10-11, 2017) @conferences
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National Conference on Mathematics and Applications, UoS Sargodha (09-10 April 2018) @conferences
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Symposium on “Computational Complexities, Innovations and Solutions (CCIS)", COMSATS, Abbottabad (10 - 11 May 2010) @conferences
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FSc Part 1 (KPK Boards) @fsc
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PPSC Paper 2021 (Lecturer in Mathematics) @ppsc
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Formatting Syntax @wiki
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Ch 07: Permutation, Combination and Probability @fsc-part1-ptb:important-questions
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Ch 10: Trigonometric Identities @fsc-part1-ptb:important-questions
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Unit 05: Linear Inequalities and Linear Programming @fsc-part2-ptb:important-questions
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Chapter 02: Sets, Functions and Groups @fsc:fsc_part_1_solutions
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Unit 06: Conic Section @fsc:fsc_part_2_solutions
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Chapter 10: Trigonometric Identities of Sum and Difference of Angles @fsc:kpk_fsc_part_1
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Unit 02: Matrices and Determinants (Solutions) @math-11-kpk:sol
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Unit 01: Complex Numbers (Solutions) @math-11-nbf:sol
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Unit 02: Matrices and Determinants (Solutions) @math-11-nbf:sol
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Unit 08: Fundamental of Trigonometry @math-11-nbf:sol
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Topology: Short Questions and MCQs @msc:mcqs_short_questions
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Chapter 08: PDF Viewer @bsc:notes_of_calculus_with_analytic_geometry:ch08_analytic_geometry_of_three_dimensions
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Chapter 10: Motion of a Projectile @bsc:notes_of_mechanics:introduction_to_mechanics
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Syllabus & Paper Pattern for General Mathematics (Split Program) @bsc:paper_pattern:punjab_university
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A-Course of Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university
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Question 7, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 2, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Online View @fsc:fsc_part_1_mcqs:mcqs_by_muhammad_imran_qureshi
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Ch 02: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 13: Inverse Trigonometric Functions: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch13
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Unit 03: Key @fsc:fsc_part_2_mcqs:mcqs_by_nauman_idrees
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Unit 06: Key @fsc:fsc_part_2_mcqs:mcqs_by_nauman_idrees
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Unit 07: Key @fsc:fsc_part_2_mcqs:mcqs_by_nauman_idrees
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View Online (Solutions of Unit 02) @fsc:fsc_part_2_solutions:ch02
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Unit 06: Conic Section: Mathematics FSc part 2 @fsc:fsc_part_2_solutions:ch06
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Question 7, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 2, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 3, 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 1 and 2 Exercise 4.1 @math-11-kpk:sol:unit04
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Question 1 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 1 Review Exercise 5 @math-11-kpk:sol:unit05
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Question 9 Exercise 6.5 @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 7 & 8 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 7 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 10 Exercise 7.3 @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, Exercise 1.1 @math-11-nbf:sol:unit01
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Question 9, Exercise 1.2 @math-11-nbf:sol:unit01
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Question 6, Review Exercise @math-11-nbf:sol:unit01
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Question 2, 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 7 and 8, 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 24 and 25, Exercise 4.4 @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 4 and 5, Exercise 5.1 @math-11-nbf:sol:unit05
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Question 4 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,Review Exercise @math-11-nbf:sol:unit09
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Exercise 2.1 (Solutions) @matric:9th_science:unit_02
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MTH211: Discrete Mathematics (Fall 2020) @atiq
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MTH424: Convex Analysis (Fall 2020) @atiq
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MATH-505: Complex Analysis @atiq
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MATH-510: Topology @atiq
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MTH231: Linear Algebra @atiq
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MTH321: Real Analysis I (Spring 2020) @atiq
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MTH211: Discrete Mathematics (Fall 2020) @atiq
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3rd National Conference on Mathematical Sciences, IIU, Islamabad (27-28 April 2017) @conferences
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Conference on Recent Advances in Mathematical Methods, Models and Applications, LUMS, Lahore (17-18 April 2010) @conferences
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International Conference on Differential Equations and Applications, LUMS Lahore (May 26-28 2016) @conferences
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International Conference on Computing and Mathematical Sciences, IBA Sukkur (February 25-26, 2017) @conferences
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Second Conference on Mathematical Sciences (SCMS-2013), International Islamic University, Islamabad, Pakistan (1-2 November 2013) @conferences
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5th International Conference on Pure and Applied Mathematics, UoS Sargodha (24-25 February 2020) @events
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Pakistan Mathematics Competitions (PMC) 2022 (1-3 April 2022) @events
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Definitions: FSc Part1 KPK @fsc-part1-kpk
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Important Questions @fsc-part1-kpk
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Definitions: FSc Part1 KPK @math-11-kpk
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Important Questions @math-11-kpk
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General Mathematics 9 @matric
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Topology: Handwritten Notes @notes
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PPSC Paper 2015 (Lecturer in Mathematics) @ppsc
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Unit 1: Complex Numbers (Solutions) @fsc-part1-kpk:sol
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Ch 02: Functions and Groups @fsc-part1-ptb:important-questions
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Ch 04: Quadratic Equations @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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MCQs: Ch 02 Sets, Functions and Groups @fsc-part1-ptb:mcq-bank
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Unit 04: Introduction to Analytic Geometry @fsc-part2-ptb:important-questions
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Unit 07: Vectors @fsc-part2-ptb:important-questions
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Short Questions by Mr. Akhtar Abbas @fsc:fsc_part_1_mcqs
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Chapter 09: Fundamentals of Trigonometry @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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Assessment Scheme @fsc:fsc_part_2_model_papers
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Unit 03: Integration @fsc:fsc_part_2_solutions
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Unit 07: Vectors @fsc:fsc_part_2_solutions
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FSc-I Mathematics KPK: View Online @fsc:kpk-fsc-part1-km
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Unit 01: Complex Numbers (Solutions) @math-11-kpk:sol
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Unit 05: Polynomials @math-11-nbf:sol
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Matric 9th (General): Online View @matric:9th_general
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Exercise 6.2 @matric:9th_science
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Unit 01: Quadratic Equations: Online View @matric:10th_science
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Unit 02: Theory of Quadratic Equations: Online View @matric:10th_science
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Unit 03: Variations: Online View @matric:10th_science
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Targets @msc:notes
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Syllabus & Paper Pattern for A and B Course of Mathematics @bsc:paper_pattern:punjab_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 11, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
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Ch 01: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 03: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 04: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 05: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 06: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 07: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 08: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 09: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 11: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 12: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 13: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 14: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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View @fsc:fsc_part_1_mcqs:short_questions_by_mr._akhtar_abbas
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Ch 09: Fundamentals of Trigonometry: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch09
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View Online (Solutions of Chapter 11) @fsc:fsc_part_1_solutions:ch11
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Ch 12: Application of Trigonometry: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch12
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View Online (Solutions of Chapter 12) @fsc:fsc_part_1_solutions:ch12
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View Online (Solutions of Chapter 14) @fsc:fsc_part_1_solutions:ch14
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Unit 01: Key @fsc:fsc_part_2_mcqs:mcqs_by_muhammad_imran_qureshi
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Unit 02: Key @fsc:fsc_part_2_mcqs:mcqs_by_muhammad_imran_qureshi
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Unit 03: Key @fsc:fsc_part_2_mcqs:mcqs_by_muhammad_imran_qureshi
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Unit 04: Key @fsc:fsc_part_2_mcqs:mcqs_by_muhammad_imran_qureshi
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Unit 05: Key @fsc:fsc_part_2_mcqs:mcqs_by_muhammad_imran_qureshi
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Unit 06: Key @fsc:fsc_part_2_mcqs:mcqs_by_muhammad_imran_qureshi
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Unit 07: Key @fsc:fsc_part_2_mcqs:mcqs_by_muhammad_imran_qureshi
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Unit 01: Key @fsc:fsc_part_2_mcqs:mcqs_by_nauman_idrees
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Unit 02: Key @fsc:fsc_part_2_mcqs:mcqs_by_nauman_idrees
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Unit 04: Key @fsc:fsc_part_2_mcqs:mcqs_by_nauman_idrees
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Unit 03: Differentiation: Mathematics FSc part 2 @fsc:fsc_part_2_solutions:ch03
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View Online (Solutions of Unit 04) @fsc:fsc_part_2_solutions:ch04
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View Online (Solutions of Unit 06) @fsc:fsc_part_2_solutions:ch06
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Question 11, Exercise 1.1 @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 11, 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 1, 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 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 4 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 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 8 & 9 Review Exercise 3 @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 9 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 7 & 8 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 9 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 7 & 8 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 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 4 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 9 Review Exercise @math-11-kpk:sol:unit05
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Question 9 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 3 Exercise 6.3 @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 7 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 9 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 9 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 11 Exercise 7.2 @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 9 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 11 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 3, Exercise 1.1 @math-11-nbf:sol:unit01
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Question 4, Exercise 1.3 @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 9, Exercise 1.4 @math-11-nbf:sol:unit01
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Question 9, 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 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 11 and 12, 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 13, Exercise 4.2 @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 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 20, 21 and 22, 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 12 and 13, 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, Exercise 4.6 @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 3 and 4, Exercise 4.8 @math-11-nbf:sol:unit04
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Question 8 and 9, Exercise 5.1 @math-11-nbf:sol:unit05
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Question 1, 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 9, 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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Question 3(i, ii, iii, iv & v) 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 9, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 9, Review Exercise @math-11-nbf:sol:unit09
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Unit 01: Quadratic Equations: Online View @matric:10th_science:unit01
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Unit 02: Theory of Quadratic Equations: Online View @matric:10th_science:unit02
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Unit 03: Variations: Online View @matric:10th_science:unit03
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Unit 04: Partial Fractions: Online View @matric:10th_science:unit04
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Unit 05: Sets and Functions: Online View @matric:10th_science:unit05
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Unit 06: Basic Statistics: Online View @matric:10th_science:unit06
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