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- Definitions: FSc Part 1 (Mathematics): PTB
- k of Algebra and Trigonometry Class XI, published by Punjab Textbook Board (PTB) Lahore, Pakistan are ... man** for his valuable contribution. Definitions by Mr. Aurang Zaib are given at [[:fsc-part1-ptb:definitions-aurang-zaib]] Definitions by Mr. [[people:Muzzammil-Subhan]] are given at [[:f... ry operation in a set A is a rule usually denoted by $\divideontimes$ that assigns to any pair of elem
- MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
- $ - A quadratic equation which cannot be solved by factorization, that will be solved by - Comparing coefficients - Completing square - Both... - None of these - If we solve $ax^2+bx+c=0$ by complete square method, we get - Cramer's rul... ons, which remains unchanged when $x$ is replaced by $\frac{1}{x}$ are called - Reciprocal Equatio
- Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
- {{a}^{-1}}*a \right)*x={{a}^{-1}}*b\,\,\,\, \text{by associative law}\\ \Rightarrow \,\,\,\,& e*x={{a}^{-1}}*b \,\,\,\,\text{by inverse law.}\\ \Rightarrow \,\,\,\,& x={{a}^{-1}}*b\,\,\,\, \text{by identity law.}\end{align} And for \begin{align}... ( a*{{a}^{-1}} \right)=b*{{a}^{-1}}\,\,\,\, \text{by associative law}\\ \Rightarrow \,\,\,\, & x*e=b*{
- Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib
- ====== Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib====== Definitions from **Textbook of Algebra and Trigonometry Class XI**, published by Punjab Textbook Board (PTB) Lahore, Pakistan. We ... ion on a set \( A \) is a rule, typically denoted by \( \circ \) or \( \star \), that assigns to any p... -axis. Any point in this plane can be represented by an ordered pair \( (x, y) \), where \( x \) repre
- MCQs: Ch 02 Sets, Functions and Groups @fsc-part1-ptb:mcq-bank
- ree - Four - Sets are generally represented by - Small letters - Greek letters - Cap... - The members of different sets usually denoted by - Capital letters - Greek letters - S... - $B$ - The set of a given set $S$ denoted by $P(S)$ containing all the possible subsets of $S$... these - Logical form of $(A \cup B)'$ is given by - $p \vee q$ - $p \wedge q$ - $\sim (
- Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
- col sm="6"> <panel> **Question 6(i)** Simplify by justifying each step: $$\frac{4+16x}{4}$$ **Sol... }$ <panel></panel> **Question 6(ii)** Simplify by justifying each step: $$\frac{\frac{1}{4}+\frac{... } <panel></panel> **Question 6(iii)** Simplify by justifying each step: $$\frac{\frac{a}{b}+\frac{c... n} <panel></panel> **Question 6(iv)** Simplify by justifying each step: $$\frac{\frac{1}{a}+\frac{1
- Ch 04: Quadratic Equations @fsc-part1-ptb:important-questions
- * When the polynomial $x^3+2x^2+kx+4$ is divided by $x-2$, then the reminder is $14$, find $k$. --- /... 7)// * Solve the equation $x(x+7)=(2x-1)(x+4)$ by factorization --- //BISE Sargodha(2015)// * I... odha(2016)// * When $x^3+kx^2-7x+6$ is divided by $x+2$ the reminder is $-4$? Find the value of $k$... e(2017)// * When $x^4+2x^3+kx^2+3$ is dividing by $x-2$ the reminder is $1$. Find the value of $k$
- Ch 08: Mathematical Induction and Binomial Theorem @fsc-part1-ptb:important-questions
- godha(2016)// * Evaluate $(1.03)^{\frac{1}{3}}$ by binomial theorem upto three places of decimials. ... anwala(2017)// * Show that $n^3-n$ is divisible by $6$ by $n=2,3$ --- // BISE Gujranwala(2017)// * Verify the result $4^n>3^n+2^{n-1}$ for $n=2,3$ -... Sargodha(2016)// * Expand $(3a-\frac{x}{3a})^4$ by binomial theorem --- // BISE Sargodha(2016),BISE
- Definitions: Mathematics 11: PTB by Muzzammil Subhan
- ====== Definitions: Mathematics 11: PTB by Muzzammil Subhan====== Definitions from **Textbook of Algebra and Trigonometry Class XI**, published by Punjab Textbook Board (PTB) Lahore, Pakistan. We ... btn> <modal id="dms" size="lg" title="Definitions by Muzzammil Subhan"> {{gview noreference>:fsc-part1
- Definitions and Review
- of Algebra and Trigonometry Class XI is published by Punjab Textbook Board (PTB) Lahore, Pakistan. The... material related to definitions, reviews and quick reviews. =====Quick reviews by Akhtar Abbas=====
- Old Question Papers/Model Papers HSSC-I (FSc-I): FBISE
- of mathematics for HSSC-I (FSc Part 1) conducted by Federal Board of Intermediate and Secondary Educa... of Algebra and Trigonometry Class XI is published by Punjab Textbook Board (PTB) Lahore, Pakistan". Th
- Important Questions: HSSC-I
- k of Algebra and Trigonometry Class XI" published by Punjab Textbook Board (PTB) Lahore, Pakistan. The... rt-term-preparation-salman-sherazi]]** \\ A guide by M Sulaiman Sherazi, which includes important MCQs
- Short Term Preparation FSc/ICS 1
- eparation-fsc-1.jpg?nolink|Short Term Preparation by M Salman Sherazi}} This document contains all the... done to help the students and teachers at no cost by [[:people:salman-sherazi|M Salman Sherazi]]. ===
- FSc Part 1 Mathematics Notes/Solutions
- t 1 Trigonometric Review|Trigonometric Review]]** by Mr. Aqeel Nawaz * **[[FSc:FSc Part 1 Solution ... ic Formulae|Important Trigonometric Formulae]]** (by Ali Nawaz Bajwa (MS(Math), M.Ed.)) 8-O {{tag>FS
- Ch 01: Number Systems @fsc-part1-ptb:important-questions
- +ib$ --- // BISE Sargodha(2015)// * Simplify by justify each step $\frac{\frac{1}{a}-\frac{1}{b}}... olar form --- // FBISE (2016)// * Simplify by using De Moivre's Theorem $(-\frac{1}{2}+\frac{\s