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Ch 07: Permutation, Combination and Probability @fsc-part1-ptb:important-questions
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Find the value of $n$ when $^nP_2=30$ ---// BISE Sargodha(2015)// * Find numbers of diagonals of $6-dided$ figure. ---// BISE Sargodha(2015)// * Find the value of $n$. $^nC_{12}=^nC_6$ ---// BISE Sargodha(2015)// * Determine the probability of getting ... ds in two successive tosses of a coin? ---// BISE Sargodha(2015)// * Prove that $^{n-1}C_r+^{n-1}C_{r-1}=^
Ch 08: Mathematical Induction and Binomial Theorem @fsc-part1-ptb:important-questions
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...=\sqrt{2}$ --- // BISE Gujranwala(2015), BISE Sargodha(2016)// * Evaluate $(1.03)^{\frac{1}{3}}$ by bi... ing expansion $(x-\frac{2}{x})^{10}$ --- // BISE Sargodha(2015), BISE Gujranwala(2017)// * Show that $n^3... result $4^n>3^n+2^{n-1}$ for $n=2,3$ --- // BISE Sargodha(2015)// * Find $13$th term of $x,1,2-x,3-2x,...$ --- // BISE Sargodha(2015)// * Expand $(1-2x)^{\frac{1}{3}}$ upto th
Ch 06: Sequences and Series @fsc-part1-ptb:important-questions
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t{\frac{a}{c}}$ --- //BISE Gujranwala(2015),BISE Sargodha(2015), BISE Sargodha(2017),BISE Lahore(2017)// * With usual notation show that $AH=G^2$ ---// BISE Gujra... common difference is $\frac{a-c}{2ac}$ --- //BISE Sargodha(2015)// * If $15$ and $8$ are two A.Ms between $a$ and $b$, find $a$ and $b$. --- //BISE Sargodha(2015)// * If $S_2,S_3,S_5$ are the sum of $2n,
Ch 02: Functions and Groups @fsc-part1-ptb:important-questions
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then verify associativity of union --- // BISE Sargodha(2015)// * If $A,B$ are elements of a group $G$ ... ow that $(ab)^{-1}=b^{-1}a^{-1}$ --- // BISE Sargodha(2015)// * For $A=\{1,2,3\}$ find the relation $\{(x,y)| x+y<5\}$ --- // BISE Sargodha(2015)// * Write the set $\{x|x \in Q \wedge x^2... $ in descriptive and tabular form --- // BISE Sargodha(2015)// * If $a,b$ being elements of a group $G
Ch 03: Matrices and Determinants @fsc-part1-ptb:important-questions
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ight]$ find the value of $a$ and $b$. --- // BISE Sargodha(2017), Gujrawala(2017)// * Find the value of $\... &1 \end{array}} \right]$ is singular --- // BISE Sargodha(2015)// * Find the value of $x$, $ \left[ {\beg... 3&4\\ x&1&0 \end{array}} \right]=0 $ --- // BISE Sargodha(2015)// * Evaluate $ \left[ {\begin{array}{c} a... l\\ a-l&a&a+l \end{array}} \right]$ --- // BISE Sargodha(2015)// * If $ A=\left[ {\begin{array}{c} l\\1+
Ch 10: Trigonometric Identities @fsc-part1-ptb:important-questions
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r calculator find $tan(1110^{\circ})$ --- // BISE Sargodha(2015), BISE Gujrawala(2017)// * Prove that $sin... {\circ}-\alpha)=-sin\alpha cos\alpha$ --- // BISE Sargodha(2015), BISE Lahore(2017)// * Prove that (withou... i}{3}sin\frac{4\pi}{9}=\frac{3}{16}$ --- // BISE Sargodha(2015)// * Prove that $cot\alpha-tan\alpha=2cot2\alpha$ --- // BISE Sargodha(2015)// * Find the value of $cos15^{circ}$ usin
Ch 12: Applications of Trigonometry @fsc-part1-ptb:important-questions
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* Show that $r_2=s tan\frac{\beta}{2}$--- //BISE Sargodha(2015)// * Show that $r=(s-a)tan\frac{\alpha}{2}$--- //BISE Sargodha(2015)// * The sides of a triangle are $x^2+x+1$... angle of the triangle is $120^{\circ}$ --- //BISE Sargodha(2015), FBISE(2017)// * Solve the triangle $ABC$... rc}$, $\gamma=15^{\circ}$, $b=\sqrt{6}$--- //BISE Sargodha(2015)// * Find the area of the triangle $ABC$,
Ch 09: Fundamental of Trigonometry @fsc-part1-ptb:important-questions
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ac{3}{\sqrt{2}}$ --- //BISE Gujrawala(2017), BISE Sargodha(2017)// * Prove that $cosce \theta+tan\theta se... * Convert $150^{\circ}$ into radian. --- //BISE Sargodha(2015)// * Find $\theta$ when $l=1.5cm$, $r=2.5cm$ --- //BISE Sargodha(2015)// * Prove that $\frac{cos\theta+sin\theta... theta-sin\theta}{cos\theta+sin\theta}$ --- //BISE Sargodha(2015)// * Find $l$ when $\theta=65^{\circ}20'$,
Ch 01: Number Systems @fsc-part1-ptb:important-questions
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z_2}=\overline z_1 +\overline z_2$ --- // BISE Sargodha(2015)// * Simplify $\frac{2}{\sqrt{5}+\sqrt{-8}}$ in the form of $a+ib$ --- // BISE Sargodha(2015)// * Simplify by justify each step $\frac{... 1}{b}}{1-\frac{1}{a}\frac{1}{b}}$ --- // BISE Sargodha(2015)// * Find multiplicative inverse $(\sqrt{2}, -\sqrt{5})$ --- //BISE Sargodha(2015)// * Does the set $\{0,-1\}$ possess the c
Ch 04: Quadratic Equations @fsc-part1-ptb:important-questions
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$x(x+7)=(2x-1)(x+4)$ by factorization --- //BISE Sargodha(2015)// * If $\alpha$, $\beta$ are the roots o... c{\alpha}{\beta}+\frac{\beta}{\alpha}$ --- //BISE Sargodha(2015)// * For what value of $m$ will the roots... the equation $(m+1)x^2+2(m+3)x+m+8=0$ --- //BISE Sargodha(2015)// * Evaluate $(1+w-w^2)(1-w+w^2)$ --- //BISE Sargodha(2016)// * Discuse nature of roots of equation
Ch 05: Partial Fraction @fsc-part1-ptb:important-questions
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1}{(x+1)(x-1)}$ into partial fraction --- //BISE Sargodha(2015),BISE Sargodha(2017)// * Resolve $\frac{9}{(x+2)^2(x-1)}$ into partial fraction --- //BISE Sargodha(2015)// * Solve the partial fraction $\frac{1}{(x-1)^2+(x+1)}$ --- //BISE Sargodha(2015)// * Resolve the following into partial fr
Ch 13: Inverse Trigonometry Functions @fsc-part1-ptb:important-questions
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}{\sqrt{5}})+cot^{-1}(3)=\frac{\pi}{4}$--- //BISE Sargodha(2015), BISE Sargodha(2016), BISE Gujrawala(2017) // * Prove that $cos^{-1}(-x)=\pi-cos^{-1}x$--- //BISE G... (\frac{12}{13})=sin^{-1}(\frac{5}{13})$--- //BISE Sargodha(2015)// * Show that $cos(sin^{-1}x)=\sqrt{1-x^2}$--- //BISE Sargodha(2016)// * Find the value of $tan(cos^{-1}\frac{
Ch 14: Solutions of Trigonometric Equation @fsc-part1-ptb:important-questions
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3}$ in $[0,2\pi]$--- //BISE Gujrawala(2015), BISE Sargodha(2016), BISE Gujrawala(2017)// * Solve $sinx=\fr... eta \in [0,2\pi]$--- //BISE Gujrawala(2017), BISE Sargodha(2016)// * Solve $sec^2\theta=\frac{4}{3}$ in $[0,2\pi]$--- //BISE Sargodha(2015)// * Solve $4cos^2x-3=0$, $x \in [0,2\pi]$--- //BISE Sargodha(2015)// * Solve the equation $secx=-2$ where $x
Ch 11: Trigonometric Functions and Their Graphs @fsc-part1-ptb:important-questions
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* Find the period of $\sin\frac{x}{5}$ --- //BISE Sargodha(2015), BISE Sargodha(2016)// * Find the period of $cosec10x$ --- //BISE Sargodha(2015)// * Find the period of $\cot\frac{x}{2}$ --- //BISE Sargodha(2017), BISE Lahore(2017)// * Show that $\sin x$
Question Paper/Model Paper/Paper Pattern HSSC-I: BISE
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t of boards (e.g. Multan Board, Faisalabad Board, Sargodha Board, Gujranwala Board, DG Khan Board, Rawalpind... other board (e.g. Multan Board, Faisalabad Board, Sargodha Board, Gujranwala Board, DG Khan Board, Rawalpind
Important Questions: HSSC-I
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