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Ch 08: Mathematical Induction and Binomial Theorem
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-\frac{1}{2^n}]$ --- // BISE Sargodha(2017), BISE Lahore(2017)// * Expand $(8-5x)^{\frac{-2}{3}}$ upto t... .+(4n-3)=n(2n-1)$ for $n=1$ and $n=2$ --- // BISE Lahore(2017)// * Expand upto three terms $(1-x)^{\frac{1}{2}}$ --- // BISE Lahore(2017)// * Using binomial theorem, calculate $(0.97)^3$ --- // BISE Lahore(2017)// * Expand $(1-2x)^{\frac{1}{3}}$ upto th
Ch 03: Matrices and Determinants
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array}} \right]$, show that $A^4=I_2$ --- // BISE Lahore(2017)// * $ A=\left[ {\begin{array}{c} i&l+i\\l... that $A-(\bar A)$ is skew-hermitian. --- // BISE Lahore(2017)// * Without expansion show that $ \left[ ... 1}{c}\\a&b&c \end{array}} \right]=0$ --- // BISE Lahore(2017)// * Verify that $(AB)^t=B^t A^t$ if $ A=\... 1&1\\3&2\\0&-1 \end{array}} \right]$ --- // BISE Lahore(2017)// * Solve the following matrix equations
Ch 07: Permutation, Combination and Probability
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all letters without repeating anyone? ---// BISE Lahore(2017)// * Find the values of $n$ and $r$ when $... nC_r=35$ and $^nP_r=210$ ---// FBISE(2016), BISE Lahore(2017)// * If $S=\{1,2,3,...9\}$, Even $A=\{2,4,... \}$, $B=\{1,3,5\}$. Find $P(A \cup B)$ ---// BISE Lahore(2017)// * A die is thrown. Find probability tha... top are prime numbers or odd numbers. ---// BISE Lahore(2017)// * Find the values of $n$ and $r$ when
Ch 01: Number Systems
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roperty with respect to "+" and "-". --- // BISE Lahore(2017)// * Find multiplicative inverse of $a \div ib$ --- // BISE Lahore(2017)// * Simplify $(-1)^\frac{-21}{2}$ --- /... * Prove that $|z_1z_2|=|z_1||z_2|$ --- // BISE Lahore(2017)// * Express $1+i\sqrt{3}$ in the polar f
Ch 04: Quadratic Equations
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minder is $-4$? Find the value of $k$. --- //BISE Lahore(2017)// * Prove that $1+w+w^2=0$ --- //BISE Lahore(2017)// * Solve $3^{2x-1}-12.3^x+81=0$ --- //BISE Lahore(2017)// * When $x^4+2x^3+kx^2+3$ is dividing b
Ch 09: Fundamental of Trigonometry
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rc}20'$, $r=18mm$ --- //BISE Sargodha(2015), BISE Lahore(2017)// * Find the value of remaining trigonome... a}{1+cos\theta}+cot\theta=cosec\theta$ --- //BISE Lahore(2017)// * If $tan^245^{\circ}-cos^260^{\circ}=x... 45^{\circ}tan60^{\circ}$ then find $x$ --- //BISE Lahore(2017)// * $\frac{tan\theta+sec\theta-1}{tan\the
Ch 10: Trigonometric Identities
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alpha cos\alpha$ --- // BISE Sargodha(2015), BISE Lahore(2017)// * Prove that (without calculator) $sin\... ac{1}{\sqrt{2}}(sin\alpha+cos\alpha)$ --- // BISE Lahore(2017)// * Prove that $\frac{sin\theta+sin3\thet... eta+cos5\theta+cos7\theta}=tan4\theta$--- // BISE Lahore(2017)// * Prove that $\frac{cos8^{\circ}-sin8^{
Ch 12: Applications of Trigonometry
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$. How far is the boat from the cliff? --- //BISE Lahore(2017)// * Solve the $\triangle ABC$ in which $\... pha=3$, $c=6$ and $\beta=36^{\circ}20'$--- //BISE Lahore(2017)// * Find the smallest angle of the $\tria... $\alpha=37.34$, $b=3.24$ and $c=35.06$--- //BISE Lahore(2017)// * Prove that with usual notation, $R=\f
Ch 02: Functions and Groups
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ss XI is published by Punjab Textbook Board (PTB) Lahore, Pakistan has been given on this page. These ques... B)\cup(A \cap C)$ --- // BISE Gujrawala, BISE Lahore (2017)// * If $A=\{1,2,3,4\}$, $B=\{3,4,5,6,7,8
Ch 05: Partial Fraction
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to partial fraction $\frac{1}{x^2-1}$ --- //BISE Lahore(2017)// * Resolve the following into partial fr... actions $\frac{x^2}{(x-2)(x-1)^2}$ --- //BISE Lahore(2017)// * Resolve $\frac{3x-1}{(x^2+1)(x+3)}$ i
Ch 06: Sequences and Series
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15),BISE Sargodha(2015), BISE Sargodha(2017),BISE Lahore(2017)// * With usual notation show that $AH=G^... 2$, then prove that $x=\frac{2y}{1+y}$ --- //BISE Lahore(2017)// * Insert four harmonic means between $
Ch 13: Inverse Trigonometry Functions
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{5}-tan^{-1}\frac{8}{19}=\frac{\pi}{4}$--- //BISE Lahore(2017)// * Without using calculator show that $cos^{-1}\frac{4}{3}$--- //BISE Lahore(2017)// </list-group> {{tag>FSc FSc_Part1
Ch 11: Trigonometric Functions and Their Graphs
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$\cot\frac{x}{2}$ --- //BISE Sargodha(2017), BISE Lahore(2017)// * Show that $\sin x$ is periodic functi
Ch 14: Solutions of Trigonometric Equation
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ve the equation $tanx=-1$ in $[0,2\pi]$--- //BISE Lahore(2017)// * Solve $\sin x+\cos x=0$ --- // FBISE(