Search
You can find the results of your search below.
Matching pagenames:
- Important Questions
- Important Questions: HSSC-I
- Important Questions: HSSC-II
- Important Questions
- MCQs and Short Questions
- Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas
- Ch 01: Number Systems
- Ch 02: Functions and Groups
- Ch 03: Matrices and Determinants
- Ch 04: Quadratic Equations
- Ch 05: Partial Fraction
- Ch 06: Sequences and Series
- Ch 07: Permutation, Combination and Probability
- Ch 08: Mathematical Induction and Binomial Theorem
- Ch 09: Fundamental of Trigonometry
- Ch 10: Trigonometric Identities
- Ch 11: Trigonometric Functions and Their Graphs
- Ch 12: Applications of Trigonometry
- Ch 13: Inverse Trigonometry Functions
- Ch 14: Solutions of Trigonometric Equation
- Unit 01: Functions and Limits
- Unit 02: Differentiation
- Unit 03: Integration
- Unit 04: Introduction to Analytic Geometry
- Unit 05: Linear Inequalities and Linear Programming
- Unit 06: Conic section
- Unit 07: Vectors
- MCQs-Short Questions by Mr Parvez Khan
- Short Questions by Mr. Akhtar Abbas
- MCQs-Short Questions by Mr. Parvez Khan
- Short Questions by Mr. Akhtar Abbas
- Normed Spaces: Short Questions and MCQs
- Real Analysis: Short Questions and MCQs
- Topology: Short Questions and MCQs
- View
Fulltext results:
- Unit 04: Sequences and Seeries @math-11-nbf:sol
- olutions)"> * [[math-11-nbf:sol:unit04:ex4-1-p1|Question 1 & 2]] * [[math-11-nbf:sol:unit04:ex4-1-p2|Question 3 & 4]] * [[math-11-nbf:sol:unit04:ex4-1-p3|Question 5 & 6]] * [[math-11-nbf:sol:unit04:ex4-1-p4|Question 7 & 8]] * [[math-11-nbf:sol:unit04:ex4-1-p5|Questi
- Exercise 6.2 (Solutions) @math-11-nbf:sol:unit06
- given on this page. This exercise consists of the question related to factorial function. The book misses t... t{ if } n=0. \end{array} \right. $$ </callout> **Question 1.** Prove the following for $n \in \mathbb{N}$.\... -2}$\\ [[math-11-nbf:sol:unit06:ex6-2-p1|Solution Question 1]] **Question 2.** Find $n$, if:\\ (i) $\quad n P_4=20^n P_2$ (ii) ${ }^{2 n} P_3=100{ }^n P_2$ (iii) $16
- Unit 04: Sequence and Series (Solutions) @math-11-kpk:sol
- olutions)"> * [[math-11-kpk:sol:unit04:ex4-1-p1|Question 1 & 2]] * [[math-11-kpk:sol:unit04:ex4-1-p2|Question 3 &4 ]] * [[math-11-kpk:sol:unit04:ex4-1-p3|Question 5]] * [[math-11-kpk:sol:unit04:ex4-1-p4|Question 6 ]] </panel> <panel type="default" title="Exercise 4.
- Unit 07: Mathmatical Induction and Binomial Theorem (Solutions) @math-11-kpk:sol
- olutions)"> * [[math-11-kpk:sol:unit07:ex7-1-p1|Question 1]] * [[math-11-kpk:sol:unit07:ex7-1-p2|Question 2 ]] * [[math-11-kpk:sol:unit07:ex7-1-p3|Question 3]] * [[math-11-kpk:sol:unit07:ex7-1-p4|Question 4]] * [[math-11-kpk:sol:unit07:ex7-1-p5|Question 5]]
- Unit 08: Fundamental of Trigonometry @math-11-nbf:sol
- olutions)"> * [[math-11-nbf:sol:unit08:ex8-1-p1|Question 1]] * [[math-11-nbf:sol:unit08:ex8-1-p2|Question 2 ]] * [[math-11-nbf:sol:unit08:ex8-1-p3|Question 3]] * [[math-11-nbf:sol:unit08:ex8-1-p4|Question 4]] * [[math-11-nbf:sol:unit08:ex8-1-p5|Question 5 & 6
- Unit 06: Permutation, Combination and Probability (Solutions) @math-11-kpk:sol
- olutions)"> * [[math-11-kpk:sol:unit06:ex6-1-p1|Question 1 & 2]] * [[math-11-kpk:sol:unit06:ex6-1-p2|Question 3 & 4 ]] * [[math-11-kpk:sol:unit06:ex6-1-p3|Question 5]] </panel> <panel type="default" title="Exercise... olutions)"> * [[math-11-kpk:sol:unit06:ex6-2-p1|Question 1 & 2]] * [[math-11-kpk:sol:unit06:ex6-2-p2|Que
- Unit 01: Complex Numbers (Solutions) @math-11-nbf:sol
- olutions)"> * [[math-11-nbf:sol:unit01:ex1-1-p1|Question 1]] * [[math-11-nbf:sol:unit01:ex1-1-p2|Question 2]] * [[math-11-nbf:sol:unit01:ex1-1-p3|Question 3]] * [[math-11-nbf:sol:unit01:ex1-1-p4|Question 4]] * [[math-11-nbf:sol:unit01:ex1-1-p5|Question 5]]
- Unit 03: Vectors (Solutions) @math-11-kpk:sol
- olutions)"> * [[math-11-kpk:sol:unit03:ex3-2-p1|Question 1]] * [[math-11-kpk:sol:unit03:ex3-2-p2|Question 2]] * [[math-11-kpk:sol:unit03:ex3-2-p3|Question 3 & 4]] * [[math-11-kpk:sol:unit03:ex3-2-p4|Question 5 & 6]] * [[math-11-kpk:sol:unit03:ex3-2-p5|Questi
- Unit 02: Matrices and Determinants (Solutions) @math-11-nbf:sol
- olutions)"> * [[math-11-nbf:sol:unit02:ex2-1-p1|Question 1]] * [[math-11-nbf:sol:unit02:ex2-1-p2|Question 2]] * [[math-11-nbf:sol:unit02:ex2-1-p3|Question 3]] * [[math-11-nbf:sol:unit02:ex2-1-p4|Question 4]] </panel> <panel type="default" title="Exercise 2.2 (
- Exercise 6.3 (Solutions) @math-11-nbf:sol:unit06
- given on this page. This exercise consists of the question related to factorial function. **Question 1(i-v).** Prove the following for $n \in \mathbb{N}$.\\ (i) ${ ... r}$\\ [[math-11-nbf:sol:unit06:ex6-3-p1|Solution: Question 1(i-v)]] **Question 1(vi-x).** Prove the following for $n \in \mathbb{N}$.\\ (vi) ${ }^{2 n} \mathrm{C}_{\
- Unit 02: Matrices and Determinants (Solutions) @math-11-kpk:sol
- olutions)"> * [[math-11-kpk:sol:unit02:ex2-1-p1|Question 1]] * [[math-11-kpk:sol:unit02:ex2-1-p2|Question 2]] * [[math-11-kpk:sol:unit02:ex2-1-p3|Question 3]] * [[math-11-kpk:sol:unit02:ex2-1-p4|Question 4]] * [[math-11-kpk:sol:unit02:ex2-1-p5|Question 5 & 6
- Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions) @fsc-part1-kpk:sol
- tions)"> * [[fsc-part1-kpk:sol:unit10:ex10-1-p1|Question 1]] * [[fsc-part1-kpk:sol:unit10:ex10-1-p2|Question 2]] * [[fsc-part1-kpk:sol:unit10:ex10-1-p3|Question 3]] * [[fsc-part1-kpk:sol:unit10:ex10-1-p4|Question 4]] * [[fsc-part1-kpk:sol:unit10:ex10-1-p5|Questi
- Short Questions by Mr. Akhtar Abbas @fsc:fsc_part_1_mcqs
- == * Chapter 01 | {{:fsc:fsc_part_1_mcqs:short-question-ch01-fsc-part1-akhtar-abbas.pdf|Download PDF}} | [[aafsc1>short-question-ch01-fsc-part1-akhtar-abbas|View Online]] * Chapter 02 | {{:fsc:fsc_part_1_mcqs:short-question-ch02-fsc-part1-akhtar-abbas.pdf|Download PDF}} | [[aafsc1>short-question-ch02-fsc-part1-akhtar-abbas|View Online]] *
- Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions) @math-11-kpk:sol
- lutions)"> * [[math-11-kpk:sol:unit10:ex10-1-p1|Question 1]] * [[math-11-kpk:sol:unit10:ex10-1-p2|Question 2]] * [[math-11-kpk:sol:unit10:ex10-1-p3|Question 3]] * [[math-11-kpk:sol:unit10:ex10-1-p4|Question 4]] * [[math-11-kpk:sol:unit10:ex10-1-p5|Question 5
- Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
- ble at MathCity.org <grid><col sm="6"> <panel> **Question 1** Verify the addition properties of complex num... left( w+v\right)\nonumber \] </panel> <panel> **Question 2** Verify the multiplication properties of the complex numbers. </panel> <panel> **Question 3** Verify the distributive law of complex numbers. </panel> <panel> **Question 4(i)** Simplify: $i^9$ **Solutions** $i^9$ $=
- Syllabus & Paper Pattern for General Mathematics (Split Program) @bsc:paper_pattern:punjab_university
- How to prepare admission test (A short guide) @papers:old_admission_test_of_assms_for_ph.d._mathematics
- Ch 07: Permutation, Combination and Probability: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch07
- Ch 08: Mathematical Induction and Binomial Theorem: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch08