MathCity.org

MCQs/Objective: HSSC-I

anonymous@undisclosed.example.com (Anonymous) — Thu, 02 May 2024 17:05:13 +0000

MCQs/Objective: HSSC-I Short Questions by Mr. Akhtar Abbas NEW Short Questions without answers by Mr. Akhtar Abbas for FSc Part 1. MCQs-Short Questions by Mr Parvez Khan MCQs and Short Question by Mr. Parvez Khan composed by Momin Ali: Text Book of Algebra and Trigonometry Class XI (Punjab Textbook Board, Lahore) MCQs by Nauman Idrees

MCQs/Objective: HSSC-II

anonymous@undisclosed.example.com (Anonymous) — Fri, 21 Mar 2025 15:21:10 +0000

MCQs/Objective: HSSC-II On this page, MCQ/Objective for FSc-II (HSSC-II) or FSc Part 2 are given. * Objective Mathematics 12th by Muhammad Shahbaz NEW * Short Questions without answers by Mr. Akhtar Abbas for FSc Part 2. * Short Questions by Mr. Akhtar Abbas * Short Questions without answers by Mr. Akhtar Abbas for FSc Part 2.

FSc (Kyber Pakhtunkhwa (KPK) Boards)

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:42:51 +0000

FSc (Kyber Pakhtunkhwa (KPK) Boards) Notes (resources) Textbook of Mathematics for Class XI“ and “Textbook of Mathematics Grade 12” published by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan are available on this page. At the moment we are going to publish notes of FSc Part 1 and Part 2.

FSc Part 2 (KPK Boards)

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:42:52 +0000

FSc Part 2 (KPK Boards) [A Textbook of Mathematics For Class XII] Notes of FSc Part 2 of “A Textbook of Mathematics For Class XII” 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.$y=x^n$$y=(ax+b)^n$

FSc Part 1 Mathematics Notes/Solutions

anonymous@undisclosed.example.com (Anonymous) — Sun, 20 Jul 2025 09:10:04 +0000

FSc Part 1 Mathematics Notes/Solutions This is an old book. Notes of new book are available at following link: [FSc Part1 PTB Book Cover] Notes (Solutions) of Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB) Lahore.

FSc Part 1 (KPK Boards)

anonymous@undisclosed.example.com (Anonymous) — Tue, 12 Dec 2023 17:30:33 +0000

FSc Part 1 (KPK Boards) These are the notes of old book. The notes of new book is 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{smallm…

MCQs by Muhammad Imran Qureshi

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:46:06 +0000

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)

Chapter 01: Complex Numbers

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:47:20 +0000

Chapter 01: Complex Numbers Notes of Chapter 01: Complex Numbers of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources. [Download PDF ~ ch01-complex-numbers-fsc1-kpk.pdf] fsc kpk_fsc_part1

Chapter 02: Matrices and Determinants

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:47:20 +0000

Chapter 02: Matrices and Determinants Notes of Chapter 02: Matrices and Determinants of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.

Chapter 03: Vectors

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:47:21 +0000

Chapter 03: Vectors Notes of Chapter 03: Vectors of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources. [Download PDF ~ ch03-vectors-fsc1-kpk.pdf] fsc kpk_fsc_part1

Chapter 04: Sequences

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:47:21 +0000

Chapter 04: Sequences Notes of Chapter 04: Sequences of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources. [Download PDF ~ ch04-sequences-fsc1-kpk.pdf] fsc kpk_fsc_part1

Chapter 05: Miscellaneous Series

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:47:22 +0000

Chapter 05: Miscellaneous Series Notes of Chapter 05: Miscellaneous Series of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources. [Download PDF ~ ch05-miscellaneous-series-fsc1-kpk.pdf] fsc kpk_fsc_part1

Chapter 06: Permutation, Combination and Probability

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:47:22 +0000

Chapter 06: Permutation, Combination and Probability Notes of Chapter 06: Permutation, Combination and Probability of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.

Chapter 07: Mathematical Induction and Binomial Theorem

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:47:23 +0000

Chapter 07: Mathematical Induction and Binomial Theorem Notes of Chapter 07: Mathematical Induction and Binomial Theorem of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.

Chapter 08: Function and Graphs

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:47:23 +0000

Chapter 08: Function and Graphs Notes of Chapter 08: Function and Graphs of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources. [Download PDF ~ ch08-functions-and-graphs-fsc1-kpk.pdf] fsc kpk_fsc_part1

Chapter 09: Linear Programming

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:47:24 +0000

Chapter 09: Linear Programming Notes of Chapter 09: Linear Programming of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources. [Download PDF ~ ch09-linear-programming-fsc1-kpk.pdf] fsc kpk_fsc_part1

Chapter 10: Trigonometric Identities of Sum and Difference of Angles

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:47:25 +0000

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.

Chapter 11: Application of Trigonometry

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:47:26 +0000

Chapter 11: Application of Trigonometry Notes of Chapter 11: Application of Trigonometry of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.

Chapter 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of ...

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:47:26 +0000

Chapter 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of Trigonometric Equations Notes of Chapter 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of Trigonometric Equations of “A Textbook of Mathematics for Class XI

FSc-I Mathematics KPK: View Online

anonymous@undisclosed.example.com (Anonymous) — Tue, 12 Dec 2023 17:08:04 +0000

FSc-I Mathematics KPK: View Online These are the notes of old book. The notes of new book is 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

FSc-II Mathematics KPK: View Online

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:47:19 +0000

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.

Fill in the blanks by Rauf & Nabeel

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:46:06 +0000

Fill in the blanks by Rauf & Nabeel * Fill in the blanks, provided by Adil Rauf & Muhammad Nabil (F.Sc. Part I, Session: 2003-05, FAZMIC Sargodha) * Text Book of Algebra and Trigonometry Class XI (Punjab Textbook Board, Lahore) Chapter 02 Download PDF (93KB)

MCQs by Nauman Idrees

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:46:06 +0000

MCQs-Short Questions by Mr Parvez Khan

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:46:05 +0000

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) * Key to the MCQs is given at page 57. Erratum $180^{\circ}$

Short Questions by Mr. Akhtar Abbas

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:46:09 +0000

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.

Chapter 01: Number System

anonymous@undisclosed.example.com (Anonymous) — Sat, 03 Jun 2023 16:30:31 +0000

Chapter 01: Number System [Chapter 01: Number System] Notes (Solutions) of Chapter 01: Number System, Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. Contents & summary * Rational numbers and irrational numbers$\mathbb{C}$$(x+iy)^n$$\left(\frac{x_1+iy_1}{x_2+iy_2}\right)^n, x_2+iy_2\neq 0$$\sqrt{-1}=i$$\sqrt{-1}$$i$$-i$$i$$-i$$-1$$i^2=-1$$\sqrt{-1}=i$$\sqrt{-1}$

Chapter 04: Quadratic Equations

anonymous@undisclosed.example.com (Anonymous) — Sun, 04 Jun 2023 16:13:15 +0000

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

MCQs by Muhammad Imran Qureshi

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:46:42 +0000

MCQs by Muhammad Imran Qureshi * Calculus and Analytic Geometry, MATHEMATICS 12 (Punjab Textbook Board, Lahore) Unit 01 View Online Download PDF (78KB) Unit 01: Key Unit 02 View Online Download PDF (71KB) Unit 02: Key Unit 03 View Online Download PDF (67KB) Unit 03: Key Unit 04 View Online Download PDF (50KB) Unit 04: Key Unit 05 View Online Download PDF (49KB) Unit 05: Key Unit 06 View Online Download PDF (58KB)

MCQs by Nauman Idrees

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:46:43 +0000

MCQs by Nauman Idrees * Calculus and Analytic Geometry, MATHEMATICS 12 (Punjab Textbook Board, Lahore) ARW Unit 01 View Online Download PDF (48KB) Unit 01: Key ARW Unit 02 View Online Download PDF (62KB) Unit 02: Key ARW Unit 03 View Online Download PDF (72KB) Unit 03: Key ARW Unit 04 View Online Download PDF (48KB) Unit 04: Key ARW Unit 05 View Online Download PDF (52KB) Unit 05: Key ARW

MCQs-Short Questions by Mr. Parvez Khan

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:46:42 +0000

MCQs-Short Questions by Mr. Parvez Khan * MCQs and Short Question by Mr. Parvez Khan composed by Momin Ali: Calculus and Analytic Geometry, MATHEMATICS 12 (Punjab Textbook Board, Lahore). Answers are given at page 32.

Short Questions by Mr. Akhtar Abbas

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:46:47 +0000

Ch 01: Key

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:56:40 +0000

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

View

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:57:20 +0000

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.

Ch 01: Number System: Mathematics FSc Part 1

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:57:21 +0000

Ch 01: Number System: Mathematics FSc Part 1 Notes (Solutions) of Chapter 01: Number System, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are three exercises in this chapter. Please see the main page of this chapter for MCQs and important question at

Ch 02: Sets, Functions and Groups: Mathematics FSc Part 1

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:57:28 +0000

Ch 02: Sets, Functions and Groups: Mathematics FSc Part 1 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 Textbook Board (PTB), Lahore. There are eight exercises in this chapter. Please see the main page of this chapter for MCQs and important question at

View Online (Notes of Chapter 04)

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:57:41 +0000

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.

Ch 05: Partial Fractions: Mathematics FSc Part 1

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:57:45 +0000

Ch 05: Partial Fractions: Mathematics FSc Part 1 Notes (Solutions) of Chapter 05: Partial Fractions, 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

Ch 06: Sequences and Series: Mathematics FSc Part 1

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:57:49 +0000

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

Ch 07: Permutation, Combination and Probability: Mathematics FSc Part 1

anonymous@undisclosed.example.com (Anonymous) — Sat, 26 Mar 2022 16:27:34 +0000

Ch 07: Permutation, Combination and Probability: Mathematics FSc Part 1 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 Textbook Board (PTB), Lahore. There are eight exercises in this chapter. Please see the main page of this chapter for MCQs and important question at

Ch 08: Mathematical Induction and Binomial Theorem: Mathematics FSc Part 1

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:58:09 +0000

Ch 08: Mathematical Induction and Binomial Theorem: Mathematics FSc Part 1 Notes (Solutions) of Chapter 08: Mathematical Induction and Binomial Theorem, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are three exercises in this chapter. Please see the main page of this chapter for MCQs and important question at

Ch 09: Fundamentals of Trigonometry: Mathematics FSc Part 1

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:58:21 +0000

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

Ch 10: Trigonometric Identities: Mathematics FSc Part 1

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:58:44 +0000

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

Ch 12: Application of Trigonometry: Mathematics FSc Part 1

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:58:56 +0000

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

Ch 13: Inverse Trigonometric Functions: Mathematics FSc Part 1

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:59:03 +0000

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

Ch 14: Solutions of Trigonometric Equation

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:59:08 +0000

Ch 14: Solutions of Trigonometric Equation Notes (Solutions) of Chapter 14: Solutions of Trigonometric Equation, 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