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Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
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> **Question 2** Name the properties used in the following equations (Letters, where used, represent real nu... sqrt{7}= \sqrt{3}(\sqrt{5}+\sqrt{7})$ used in the following question. **Property:** Associative property w.r... > **Question 3** Name the properties used in the following inequalities: **Solution** (i) $-3<-2 \quad \Ri... col sm="6"> <panel> **Question 4(i)** Prove the following rules of addition: $$\frac{a}{c}+\frac{b}{c} = \
Ch 05: Partial Fraction @fsc-part1-ptb:important-questions
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ion --- //BISE Gujrawala(2015)// * Resolve the following into partial fractions $\frac{2x^4}{(x-3)(x+2)^2}... 1)}$ --- //BISE Sargodha(2015)// * Resolve the following into partial fractions $\frac{x^2+1}{(x^3+1)}$ --- //BISE Sargodha(2016)// * Resolve the following into partial fractions $\frac{1}{(x-1)^2(x^2+2)}$... ^2-1}$ --- //BISE Lahore(2017)// * Resolve the following into partial fractions $\frac{x^2}{(x-2)(x-1)^2}$
Ch 03: Matrices and Determinants @fsc-part1-ptb:important-questions
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\right]$ --- // BISE Lahore(2017)// * Solve the following matrix equations for $A$.\\ $ \left[ {\begin{arra... - // FBISE (2016)// * Use matrices to solve the following system --- // FBISE (2017)// $${\begin{array}{c}
Ch 08: Mathematical Induction and Binomial Theorem @fsc-part1-ptb:important-questions
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17)// * Find the term independent of $x$ in the following expansion $(x-\frac{2}{x})^{10}$ --- // BISE Sar... 17)// * Use mathematical induction to prove the following formula for every positive integer $n$. $1+\frac{
Multiple Choice Questions (MCQs)
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>b \wedge c>0\Rightarrow ac= bc$ - Which of the following is an expression for $\sqrt{-81}-\sqrt{-36}$ in t
Ch 04: Quadratic Equations @fsc-part1-ptb:important-questions
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ujrawala(2017),BISE Sagodha(2017// * Solve the following system of equations --- //BISE Gujrawala(2017)//
MCQs: Ch 01 Number Systems @fsc-part1-ptb:mcq-bank
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- $-2i$ - $2$ - $3$ - Which of the following sets has closure property with respect to multipl
MCQs: Ch 02 Sets, Functions and Groups @fsc-part1-ptb:mcq-bank
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- $\phi$ - $A$ - $B$ - Which of the following sets has only one subset - $\{x,y\}$ - $\
Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
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t \(z,w,\) and \(v\) be complex numbers. Then the following properties hold. - Commutative Law for Addition
Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
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d. </panel> <panel> **Question 9** Complete the following table to obtain a semi-group under $*$ \[ \begin