This is beta site. https://beta.mathcity.org/ 2026-06-06T22:09:56+00:00 https://beta.mathcity.org/ https://beta.mathcity.org/_media/logo.png text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch10?rev=1737476036&do=diff Chapter 10: Trigonometric Identities [Chapter 10: Trigonometric Identities] Notes (Solutions) of Chapter 10: Trigonometric Identities, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. There are four exercise in this chapter. text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch10/view?rev=1737476036&do=diff Ch 10: Trigonometric Identities: Mathematics FSc Part 1 Notes (Solutions) of Chapter 10: Trigonometric Identities, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are four exercises in this chapter. Please see the main page of this chapter for MCQs and important question at text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch10/viewer?rev=1737476036&do=diff View Online (Solutions of Chapter 10) Notes (Solutions) of Chapter 10: Trigonometric Identities, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. There are total of four exercise in this chapter. text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_muhammad_imran_qureshi/key?rev=1737476035&do=diff Key to MCQs by Muhammad Imran Qureshi This page include the key to MCQs by Muhammad Imran Qureshi. Unit 02: Key 1- C 2- A 3- B 4- C 5- C 6- D 7- A 8- B 9- C 10-D 11-A 12-B 13-D 14-A 15-C 16-A 17-C 18-C 19-B 20-C 21-C 22-A 23-C 24-A 25-C 26-C 27-C 28-C text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_10_key?rev=1737476035&do=diff Ch 10: Key This page include the key to MCQs by Nauman Idrees of Chapter 10. <center> 1- B 2- B 3- B 4- B 5- A 6- C 7- D 8- E 9- B 10- D 11- A 12- C 13- D 14- B 15- E 16- A 17- B 18- D 19- D 20- A 21- A 22- C 23- B 24- E 25- B 26- B 27- A 28- E 29- B </center> text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch04?rev=1737476035&do=diff Chapter 04: Quadratic Equations [Chapter 04: Quadratic Equations] Notes (Solutions) of Chapter 04: Quadratic Equations, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board, Lahore. Contents & summary * Introduction * Solutions of Quadratic Equations text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_09_key?rev=1737476035&do=diff Ch 09: Key This page include the key to MCQs by Nauman Idrees of Chapter 09. <center> 1- B 2- B 3- A 4- D 5- A 6- D 7- B 8- A 9- A 10- A 11- C 12- E 13- A 14- A 15- C 16- E 17- C 18- C 19- B 20- E 21- A 22- D 23- A 24- D 25- C 26- A 27- B 28- B 29- A $\pi/6$</center> text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch06?rev=1737476035&do=diff Chapter 06: Sequences and Series [Chapter 06: Sequences and Series] Notes (Solutions) of Chapter 06: Sequences and Series, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. Contents & summary * Introduction * Types of Sequences$l,m,n$$p$$q$$r$$$l(q-r)+m(r-p)+n(p-q)=0$$$a_1$$d$$$\begin{align}l=a_1+(p-1)d,\\ m=a_1+(q-1)d,\\ n=a_1+(r-1)d.\end{align}$$ Now $$\begin{align}L.H.S &= l(q-r)+m(r-p)+n(p-q)\\ &= lq-lr+mr-mp+np-nq\\ &=… text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch02?rev=1737476036&do=diff Unit 02: Differentiation [Unit 02: Differentiation] Notes (Solutions) of Unit 02: Differentiation, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.$f'(x)$$x^n$$n \in \mathbb{Z}$$\frac{x+1}{x-1}$$x$$$ \begin{aligned} \frac{d}{dx}\left(\frac{x+1}{x-1}\right) &= \frac{(x-1)\frac{d}{dx}(x… text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees?rev=1737476035&do=diff MCQs by Nauman Idrees <div> <img src=http://mathcity.org/images/mcqs.jpg class="mediacenter" /> </div> * Text Book of Algebra and Trigonometry, Class XI (Punjab Textbook Board, Lahore). Chapter 01 View Online | Download PDF (52KB) | Ch 01: Key Chapter 02 View Online | Download PDF (68KB) | Ch 02: Key Chapter 03 View Online | Download PDF (41KB) | Ch 03: Key Chapter 04 View Online | Download PDF (43KB) | Ch 04: Key Chapter 05 View Online | Download PDF (39KB) | text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch06/view?rev=1737476035&do=diff Ch 06: Sequences and Series: Mathematics FSc Part 1 Notes (Solutions) of Chapter 06: Sequences and Series, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are eleven exercises in this chapter. Please see the main page of this chapter for MCQs and important question at text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch02/view?rev=1737476036&do=diff Unit 02: Differentiation: Mathematics FSc part 2 Notes (Solutions) of Unit 02: Differentiation, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are ten exercises in this chapter. Please see the main page of this chapter for MCQs and important question text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_muhammad_imran_qureshi?rev=1737476035&do=diff MCQs by Muhammad Imran Qureshi MCQs of the Textbook of Algebra and Trigonometry Class XI is published by Punjab Textbook Board (PTB) Lahore, Pakistan. To see the keys of the MCQs, please see Key to MCQs by Muhammad Imran Qureshi. * Chapter 01 | View Online | Download PDF (166KB) * Chapter 02 | View Online | Download PDF (77KB) text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch03?rev=1737476035&do=diff Chapter 03: Matrices and Determinants [Chapter 03: Matrices and Determinants] Notes (Solutions) of Chapter 03: Matrices and Determinants, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. Contents & summary * Introduction$2\times2$$2\times2$$2\times2$$n\geq 3$$n\geq 3$ text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_model_papers/bise_marks_distribution?rev=1737476036&do=diff Assessment Scheme Chapter wise marks distribution is given below. Mathematics Class 12 Time: 3 Hours Marks: 100 Ch # Chapter name Weightage % Distribution of marks 1 Functions and limits 7% 11 2 Differentiation 21% 30 text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch03/view?rev=1737476035&do=diff View Online (Solutions of Chapter 03) Here is the list of all exercises of Chapter 03 * Exercise 3.1 * Exercise 3.2 * Exercise 3.3 (Handwritten) * Exercise 3.4 (Handwritten) * Exercise 3.5 * Exercise 3.5 by Prof. Tahir Nazir * Exercise 3.5 by Prof. Shatriq Mahataab text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch03/viewer?rev=1737476035&do=diff View Online (Solutions of Chapter 03) Here is the list of all exercises of Chapter 03 * Exercise 3.1 * Exercise 3.2 * Exercise 3.3 (Handwritten) * Exercise 3.4 (Handwritten) * Exercise 3.5 * Exercise 3.5 by Prof. Tahir Nazir * Exercise 3.5 by Prof. Shatriq Mahataab text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch04/view?rev=1737476035&do=diff View Online (Notes of Chapter 04) Notes (Solutions) of Chapter 04: Quadratic Equations, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board, Lahore. These notes are provided by M. Shahid Nadeem, Lecturer in Mathematics, Punjab College Wah Cantt. One can also download PDF of the notes from this page. text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch04/viewer?rev=1737476035&do=diff View Online (Solutions of Chapter 04) Here is the list of all exercises of Chapter 04 * Exercise 4.1 (Handwritten) * Exercise 4.2 (Handwritten) * Exercise 4.3 (Handwritten) * Exercise 4.4 * Exercise 4.5 (Handwritten) * Exercise 4.6 (Handwritten) * Exercise 4.7 * Exercise 4.8 (Handwritten) * Exercise 4.9 (Handwritten) * Exercise 4.10 (Handwritten) text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_important_derivatives_integrals?rev=1737476036&do=diff Important Derivatives & Integrals <PHP> $pre_file=“fsc_derivative_integration_formulas”; $location=“../files/fsc/fsc_part2”; print <<< HTML <table width=“100%” border=“2” cellpadding=“2” cellspacing=“2”> <tr> <td align="center"><strong><img src="/images/icon_pdf.gif" alt="PDF" />&nbsp; &nbsp;<a href="$location/dn.php?file=$pre_file.pdf" alt="$pre_file.pdf">Download PDF</a></strong></td> </tr>$location/$ text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/kpk_fsc_part_1?rev=1737476036&do=diff FSc Part 1 (KPK Boards) AVAILABLE HERE [FSc Part 2 KPTP] Notes of FSc Part 1 of “A Textbook of Mathematics For Class XI” published by Khyber Pakhtunkhwa Textbook Board, Peshawar. We are posting the notes chapter-wise. These notes are shared as open educational resources. This page will be continuously updated.$P(z)$$(\sum)$$\sum n$$\sum n^2$$\sum n^3$$n$$n$$$\frac{a}{a(a+d)}+\frac{a}{(a+d)(a+2d)}+...$$$^nP_r$$^nC_r=\left(\begin{smallmatrix}n\\ r\end{smallmatrix} \right)=\frac{n!}{r!(n-r)!}$$P(… text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch02?rev=1737476035&do=diff Chapter 02: Sets, Functions and Groups Notes (Solutions) of Chapter 02: Sets, Functions and Groups, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. [Chapter 02: Sets, Functions and Groups] Contents & summary * Introduction$p\leftrightarrow q$ text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch06?rev=1737476036&do=diff Unit 06: Conic Section [Unit 06: Conic Section] Notes (Solutions) of Unit 06: Conic Section, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section. text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_10_trigonometric_identities_of_sum_and_difference_of_angles?rev=1737476036&do=diff Chapter 10: Trigonometric Identities of Sum and Difference of Angles Notes of Chapter 10: Trigonometric Identities of Sum and Difference of Angles of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources. text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_muhammad_imran_qureshi/online_view?rev=1737476035&do=diff Online View List of all chapters * Key to MCQs by Muhammad Imran Qureshi * Chapter 01 * Chapter 02 * Chapter 03 * Chapter 04 * Chapter 05 * Chapter 06 * Chapter 07 * Chapter 08 * Chapter 09 * Chapter 10 * Chapter 11 * Chapter 12 * Chapter 13 * Chapter 14 text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_02_key?rev=1737476035&do=diff Ch 02: Key This page include the key to MCQs by Nauman Idrees of Chapter 02. <center> 1- D 2- A 3- B 4- B 5-A 6- C 7- A 8- B 9- D 10- A 11- B 12- D 13- A 14- B 15- D 16- A 17- D 18- D 19- A 20- A 21- B 22- C 23- B 24- A 25- D 26- B 27- D 28- C 29- A </center><center></center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch13/view?rev=1737476036&do=diff Ch 13: Inverse Trigonometric Functions: Mathematics FSc Part 1 Notes (Solutions) of Chapter 10: Inverse Trigonometric Functions, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are two exercises in this chapter. Please see the main page of this chapter for MCQs and important question at text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_03_key?rev=1737476036&do=diff Unit 03: Key This page include the key to MCQs by Nauman Idrees of Unit 03. <center> 1- C 2- D 3- C 4- B 5- C 6- C 7- D 8- B 9- C 10- D 11-D 12-D 13-C 14-ERROR 15-D 16-C 17-A 18-D 19-B 20-D 21-B 22-D 23-C 24-C 25-C 26-A 27-D INTEGRATION BY SUBTITUTION</center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_06_key?rev=1737476036&do=diff Unit 06: Key This page include the key to MCQs by Nauman Idrees of Unit 06. <center> 1- A 2- C 3- D 4- C 5- D 6- C O7- C 8- C 9- B 10- C 11- D 12- B 13- B 14- C 15- C 16- B 17- D 18- C 19- A 20- B 21- B 22- A 23- B 24- A 25- D 26- C 27- B 28- B </center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_07_key?rev=1737476036&do=diff Unit 07: Key This page include the key to MCQs by Nauman Idrees of Chapter 07. <center> 1- C 2- B 3- C 4- B 5- B 6- C 7- C 8- C 9- B 10- A 11- D 12-C 13- D 14-C 15- D PRODUCT OF VECTOR 1- D 2- D 3- A 4- C 5- C 6- D 7- A 8- D 9- B 10- C 11- ERROR </center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch02/viewer?rev=1737476036&do=diff View Online (Solutions of Unit 02) On this page image view of the solutions of Unit 02: Differentiation has been given. List of all exercises has been given below this preview. Here is the list of all exercises of Unit 02 * Exercise 2.1 * Exercise 2.2 * Exercise 2.3 * Exercise 2.4 * text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch06/view?rev=1737476036&do=diff Unit 06: Conic Section: Mathematics FSc part 2 Notes (Solutions) of Unit 06: Conic Section, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are nine exercises in this chapter. Please see the main page of this chapter for MCQs and important question text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_model_papers?rev=1737476035&do=diff FSc Part 1 Model Papers Federal Board of Intermediate & Secondary Education, Islamabad <div> <center> </div> ARW Model Paper 2008 View Online Download PDF (69KB) ARW Official Model Paper (with solution) View Online Download PDF (154KB) ARW Model Paper 1 (Old) View Online Download PDF (103KB) ARW Model Paper 2 (Old) View Online Download PDF (96KB) <div> </center> </div><div> <center> </div><div> </center> </div> text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs-short_questions_by_mr._parvez_khan?rev=1737476035&do=diff MCQs-Short Questions by Mr Parvez Khan * MCQs and Short Question written by Mr. Parvez Khan, composed by Mr. Momin Ali from Text Book of Algebra and Trigonometry Class XI (Punjab Textbook Board, Lahore) * <wrap hi>Key to the MCQs is given at page 57.</wrap><div> <div align="center"> <iframe src="http://docs.google.com/viewer?url=http%3A%2F%2Fwww.mathcity.org%2Ffiles%2Ffsc%2Ffsc_part1%2FMCQs-Short_Questions_Math_FSc_Part1.pdf&embedded=true" style='width: 100%; height: 550px; border: none;'><… text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/short_questions_by_mr._akhtar_abbas?rev=1737476035&do=diff Short Questions by Mr. Akhtar Abbas * We are very thankful to Mr. Akhtar Abbas for sharing these short questions. * These short questions are selected from previous 5 years papers of different boards. Solve these at your own to perform well in annual exams. text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch07?rev=1737476035&do=diff Chapter 07: Permutation, Combination and Probability [Chapter 07: Permutation , Combination and Probability] Notes (Solutions) of Chapter 07: Permutation , Combination and Probability, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. Contents & summary text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch09?rev=1737476036&do=diff Chapter 09: Fundamentals of Trigonometry [Chapter 09: Fundamentals of Trigonometry] Notes (Solutions) of Chapter 09: Fundamentals of Trigonometry, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. This chapter has four exercise and solutions of those exercises are given below which can be downloaded in PDF format or can be viewed online.$D^\circ M'S''$$45^\circ , 30^\circ , 60^\circ$$0^\circ , 90^\circ , 180^\circ , 270^\circ , 36… text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch11?rev=1737476036&do=diff Chapter 11: Trigonometric Functions and their Graphs [Chapter 11: Trigonometric Functions and their Graphs] Notes (Solutions) of Chapter 11: Trigonometric Functions and their Graphs, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. Contents & summary $ y = \sin x$$-2\pi \hbox{ to } 2\pi$$ y = \cos x$$-2\pi \hbox{ to } 2\pi$$ y = \tan x$$-\pi \hbox{ to } \pi$$ y = \cot x$$-2\pi \hbox{ to } \pi$$ y = \sec x$$-2\pi \hbox{ to } 2\pi… text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch12?rev=1737476036&do=diff Chapter 12: Application of Trigonometry [Chapter 12: Application of Trigonometry] Notes (Solutions) of Chapter 12: Application of Trigonometry, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. Contents & summary * Introduction text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch13?rev=1737476036&do=diff Chapter 13: Inverse Trigonometric Functions [Chapter 13: Inverse Trigonometric Functions] Notes (Solutions) of Chapter 13: Inverse Trigonometric Functions, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. Contents & summary * ${\sin ^{ - 1}}A + {\sin ^{ - 1}}B = {\sin ^{ - 1}}\left( {A\sqrt {1 - {B^2}} + B\sqrt {1 - {A^2}} } \right)$${\sin ^{ - 1}}A - {\sin ^{ - 1}}B = {\sin ^{ - 1}}\left( {A\sqrt {1 - {B^2}} - B\sqrt {1 - {… text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/short_questions_by_mr._akhtar_abbas?rev=1737476036&do=diff Short Questions by Mr. Akhtar Abbas * We are very thankful to Mr. Akhtar Abbas for sharing these short questions. * These short questions are selected from previous 5 years papers of different boards. Solve these at your own to perform well in annual exams.$\sqrt{x^2-4}$$f(x)=\frac{2x}{x-2}$$x=2$$x^{100}$ text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch03?rev=1737476036&do=diff Unit 03: Integration [Unit 03: Integration] Notes (Solutions) of Unit 03: Integration, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.$dy$$\delta{y}$$[f(x)]^n f'(x)$$[f(x)]^{-1}f'(x)$ text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch07?rev=1737476036&do=diff Unit 07: Vectors [Unit 07: Vectors] Notes (Solutions) of Unit 07: Vectors, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.$u\cdot v$$u\times v$$u\cdot(v\times w)$ text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/kpk-fsc-part1-km/view?rev=1737476036&do=diff FSc-I Mathematics KPK: View Online AVAILABLE HERE On this page one can view the PDF of solutions of the A Textbook of Mathematics For Class XI” published by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan. These notes are written by khalid. Link to PDF is given at the end of preview. text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/kpk-fsc-part2-km/view?rev=1737476036&do=diff FSc-II Mathematics KPK: View Online On this page one can view the PDF of solutions of the “Textbook of Mathematics Grade 12” published by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan. These notes are written by khalid. Link to PDF is given at the end of preview. text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_01_key?rev=1737476035&do=diff Ch 01: Key This page include the key to MCQs by Nauman Idrees of Chapter 01. 1- A 2- A 3- A 4- B 5- C 6- D 6- A 7- D 8- A 9- D 10- C 11- B 12- B 13- C 14- A 15- B 16- A 17- A 18- A 19- A 20- B 21- C 22- D 23- B 24- C 25- A 26- B 27- C 28- B text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_03_key?rev=1737476035&do=diff Ch 03: Key This page include the key to MCQs by Nauman Idrees of Chapter 03. <center> 1- B 2- A 3- C 4- A 5- C 6- C 7- D 8- B 9- B 10-C 11-C 12-C 13-B 14-C 15-A 16-A 17-D </center> text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_04_key?rev=1737476035&do=diff Ch 04: Key This page include the key to MCQs by Nauman Idrees of Chapter 04. <center> 1 -A 2 -B 3 -A 4 -C 5-C 6 -C 7 -C 8 -D 9 -D 10-A 11-C 12-A 13-A 14-A 15-D 16-D 17-B 18-B 19-D 20-A 21-D 22-C 23-B 24-B 25-A 26-C 27-C 28-B 29-D 30-D </center> text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_05_key?rev=1737476035&do=diff Ch 05: Key This page include the key to MCQs by Nauman Idrees of Chapter 01. <center> 1- A 2- C 3- A 4- B 5- B 6- B 7- C 8- D 9- A 10-C 11-D 12-D </center> text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_06_key?rev=1737476035&do=diff Ch 06: Key This page include the key to MCQs by Nauman Idrees of Chapter 06. <center> 1- A 2- C 3- C 4- C 5- C 6- D 7- A 8- A 9- A 10- C 11- A 12- A 13- A 14- C 15- C 16- C 17- B 18- C 19- NO OPTION 20- A 21- B 22- B 23- A 24- A 25- ERROR 26- D 27- C </center> text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_07_key?rev=1737476035&do=diff Ch 07: Key This page include the key to MCQs by Nauman Idrees of Chapter 07. <center> 1- B 2- B 3- B 4- C 5- C 6- A 7- D 8- A 9- D 10- A 11- D 12- A 13- A 14- D 15- C 16- A 17- D 18- B 19- B 20- B 21- C 22- B 23- B 24- C 25- A 26- B </center> text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_08_key?rev=1737476035&do=diff Ch 08: Key This page include the key to MCQs by Nauman Idrees of Chapter 08. <center> 1- B 2- A 3- B 4- D 5- D 6- A 7- D 8- D 9- A 10- A 11- D 12- A 13- A 14- A 15- A 16- B 17- B 18- A 19- C </center> text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_11_key?rev=1737476035&do=diff Ch 11: Key This page include the key to MCQs by Nauman Idrees of Chapter 11. <center> 1- B 2- A 3- B 4- A 5- C 6- D 7- C 8- D 9- A 10- A 11- B 12- B 13- E 14- E 15- B 16- A 17- E 18- E 19- D 20- D 21- E 22- E 23- D 24- D 25- B 26- B 27- D 28- D 29- C </center> text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_12_key?rev=1737476035&do=diff Ch 12: Key This page include the key to MCQs by Nauman Idrees of Chapter 12. <center> 1- B 2- B 3- A 4- B 5- B 6- A 7- A 8- B 9- A 10- E 11- C 12- B 13- ? 14- ? 15- C 16- B 17- A 18- A 19- A 20- B 21- C 22- E 23- C 24- B 25- B 26- C 27- E 28- A 29- A </center> text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_13_key?rev=1737476035&do=diff Ch 13: Key This page include the key to MCQs by Nauman Idrees of Chapter 13. <center> 1- A 2- E 3- ? 4- A 5- D 6- E 7- C 8- E 9- D 10- A 11- B 12- E 13- ? 14- C 15- B 16- B 17- A 18- ? 19- B 20- B 21- E 22- E 23- D 24- D 25- D 26- E 27- D 28- B 29- ? </center> text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_14_key?rev=1737476035&do=diff Ch 14: Key This page include the key to MCQs by Nauman Idrees of Chapter 14. <center> 1- C 2- A 3- C 4- B 5- E 6- B 7- D 8- B 9- A 10- C 11- A 12- C 13- B 14- A 15- C 16- C 17- C 18- A 19- C 20- C 21- D 22- C 23- B 24- D 25- B </center> text/html 2025-01-21T16:13:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_mcqs/short_questions_by_mr._akhtar_abbas/view?rev=1737476035&do=diff View * We are very thankful to Mr. Akhtar Abbas for sharing these short questions. These short questions are selected from previous five years papers of different boards. Solve these at your own to perform well in annual examination. Recommended book for these short questions is “Text Book of Algebra and Trigonometry Class XI (Punjab Textbook Board, Lahore)”. But any student Mathematics can get benefit from it. text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch09/view?rev=1737476036&do=diff Ch 09: Fundamentals of Trigonometry: Mathematics FSc Part 1 Notes (Solutions) of Chapter 09: Fundamentals of Trigonometry, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are four exercises in this chapter. Please see the main page of this chapter for MCQs and important question at text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch11/viewer?rev=1737476036&do=diff View Online (Solutions of Chapter 11) Notes (Solutions) of Chapter 11: Trigonometric Functions and their Graphs, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. There are two exercise in this chapter. text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch12/view?rev=1737476036&do=diff Ch 12: Application of Trigonometry: Mathematics FSc Part 1 Notes (Solutions) of Chapter 12: Application of Trigonometry, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are four exercises in this chapter. Please see the main page of this chapter for MCQs and important question at text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch12/viewer?rev=1737476036&do=diff View Online (Solutions of Chapter 12) Notes (Solutions) of Chapter 12: Application of Trigonometry, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. There are eight exercises in this chapter. text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch14/viewer?rev=1737476036&do=diff View Online (Solutions of Chapter 14) Notes (Solutions) of Chapter 14: Solutions of Trigonometric Equation of Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. In this chapter there is only one exercise. text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_01_key?rev=1737476036&do=diff Unit 01: Key This page include the key to MCQs by Muhammad Imran Qureshi of Unit 01. <center> 1- B 2- A 3- B 4- C 5- A 6- A 7- D 8- A 9- C 10-A 11-A 12-B 13-D 14-B 15-C 16-D 17-D 18-C 19-D 20-D 21-A 22-D 23-C 24-B 25-D 26-A 27-B 28-B 29-C 30-A 31-A 32-B 33-B </center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_02_key?rev=1737476036&do=diff Unit 02: Key This page include the key to MCQs by Muhammad Imran Qureshi of Unit 02. <center> 1- B 2- C 3- C 4- A 5- C 6- C 7- A 8- C 9- D 10-C 11-B 12-B 13-A 14-B 15-C 16-B 17-B 18-A 19-C 20-D 21-B 22-A 23-C 24-D 25-A 26-D 27-A 28-B 29-D 30-C 31-D 32-A 33-B </center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_03_key?rev=1737476036&do=diff Unit 03: Key This page include the key to MCQs by Muhammad Imran Qureshi of Unit 03. <center> 1- B 2- A 3- B 4- C 5- A 6- A 7- D 8- A 9- C 10-A 11-A 12-B 13-D 14-B 15-C 16-D 17-D 18-C 19-D 20-D 21-A 22-D 23-C 24-B 25-D 26-A 27-B 28-B 29-C 30-A 31-A 32-B 33-B </center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_04_key?rev=1737476036&do=diff Unit 04: Key This page include the key to MCQs by Muhammad Imran Qureshi of Unit 04. <center> 1- B 2- C 3- D 4- A 5- C 6- A 7- C 8- A 9- B 10-B 11-A 12-A 13-A 14-C 15-B 16-B 17-A 18-A 19-A 20-B 21-B 22-C 23-B 24-C 25-A 26-A 27-A 28-C 29-A 30-A 31-B 32-A 33-B </center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_05_key?rev=1737476036&do=diff Unit 05: Key This page include the key to MCQs by Muhammad Imran Qureshi of Unit 05. <center> 1- A 2- B 3- D 4- A 5- B 6- B 7- A 8- B 9- A 10-c 11-A 12-A 13-D 14-C 15-A 16-C 17-B 18-A 19-C 20-A 21-C 22-D 23-A 24-D 25-B 26-A 27-B 28-B 29-C 30-B </center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_06_key?rev=1737476036&do=diff Unit 06: Key This page include the key to MCQs by Muhammad Imran Qureshi of Unit 06. <center> 1- C 2- A 3- A 4- A 5- D 6- A 7- B 8- D 9- B 10-B 11-A 12-A 13-B 14-A 15-C 16-A 17-B 18-B 19-B 20-C 21-A 22-D 23-C 24-A 25-C 26-A 27-D 28-C 29-A 30-B 31-B 32-B 33-B </center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_07_key?rev=1737476036&do=diff Unit 07: Key This page includes the key to MCQs by Muhammad Imran Qureshi of Unit 06. <center> 1- A 2- B 3- A 4- B 5- D 6- C 7- D 8- B 9- B 10-A 11-C 12-D 13-A 14-C 15-B 16-B 17-A 18-C 19-A 20-B 21-B 22-B 23-A 24-D 25-C 26-B 27-B 28-A 29-B 30-B 31-A 32-B </center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_01_key?rev=1737476036&do=diff Unit 01: Key This page include the key to MCQs by Nauman Idrees of Unit 01. <center> 1- D 2- C 3- D 4- A 5- B 6- A 7- D 8- B 9- B 10- B 11-C 12-A 13-B 14-C 15- A 16-B 17-C 18-C 19-MISSING 20- B 21-D 22-B 23-C 24-C 25-D 26-A 27-C 28-B 29-B 30-D </center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_02_key?rev=1737476036&do=diff Unit 02: Key This page include the key to MCQs by Nauman Idrees of Unit 02. <center> 1- C 2- B 3- C 4- D 5- A 6- B 7- B 8- C 9- A 10- D 11-A 12-C 13-B 14-D 15-C 16-C 17-A 18-C 19-C 20-B 21-B 22-B 23-D 24-A 25-C 26-D 27-A 28-A 29-C 30-D 31-D 32-A 33-C </center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_04_key?rev=1737476036&do=diff Unit 04: Key This page include the key to MCQs by Nauman Idrees of Unit 04. <center> 1- B 2- D 3- B 4- A 5 - B 6- D 7- A 8- B 9- D 10- D 11-D 12-D 13-A 14-B 15- C 16-B 17-B 18-B 19-D 20-B 21-C 22-B 23-C 24-C 25-D 26-A 27-B 28-B 29-B 30- C </center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_05_key?rev=1737476036&do=diff Unit 05: Key This page include the key to MCQs by Nauman Idrees of Unit 05. <center> 1-C 2-B 3-A 4-MISSING 5-C 6-A 7-B 8-A 9-C 10C 11-C 12-B 13-A 14-D 15-B 16-B 17-A 18-D 19-A 20-C 21-C 22-B 23-A 24-D 25-D 26-A27-B 28-D 29-D 30-D 31-B 32-A 33-B 34-B 35-D </center> text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch03/view?rev=1737476036&do=diff Unit 03: Differentiation: Mathematics FSc part 2 Notes (Solutions) of Unit 03: Integration, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are eight exercises in this chapter. Please see the main page of this chapter for MCQs and important question text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch04/viewer?rev=1737476036&do=diff View Online (Solutions of Unit 04) Notes (Solutions) of Unit 04: Introduction to Analytic Geometry, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. This chapter have only five exercises but it covers lot of topics of analytic geometry in the plane. text/html 2025-01-21T16:13:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch06/viewer?rev=1737476036&do=diff View Online (Solutions of Unit 06) Notes (Solutions) of Unit 06: Conic Section, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. From this page, you can also download PDF of the notes.