Search
You can find the results of your search below.
Fulltext results:
- Ch 08: Mathematical Induction and Binomial Theorem
- * Using binomial theorem,expand $\left(\frac{x}{2}-\frac{2}{x^2}\right)$ --- // BISE Gujranwala(2015)// * Find the $6$th term in the expansion of $\left( x^2-\fra
- Ch 03: Matrices and Determinants
- -4 \end{array}} \right]= \left[ {\begin{array}{c} 2&1\\ -3&2 \end{array}} \right]$ --- // BISE Gujrawala(2015)// * Solve for matrix $A$ if $\left[ {\begin{array}{c}4&3\\ 2&2 \end{array}} \right]A-\left[ {\begin{array}{c}
- Ch 04: Quadratic Equations
- c Equations ====== <list-group> * Reduce $x^{-2}-10=3x^{-1}$ to quadratic form --- //BISE Gujrawala(2015)// * Show that $x^3-y^3=(x-y)(x-wy)(x-w^2y)$ --- //BISE Gujrawala(2015)// * If $n$ is an odd integer, is $(x+a)$ factor of $(x^n+a^n)$? -
- Ch 12: Applications of Trigonometry
- ====== Ch 12: Applications of Trigonometry ====== <list-group> * Find the value of $tan\frac{\alpha}{2}$ in term of $s$ --- //BISE Gujrawala(2015)// * Solve $\triangle ABC$ if $b=125$, $r=53^{\circ}$, $\alpha=47^{\circ}$ --- //BISE Gujrawala
- Ch 06: Sequences and Series
- $r=\pm \sqrt{\frac{a}{c}}$ --- //BISE Gujranwala(2015),BISE Sargodha(2015), BISE Sargodha(2017),BISE Lahore(2017)// * With usual notation show that $AH=G^2$ ---// BISE Gujrawala(2015)//
- Ch 07: Permutation, Combination and Probability
- ity ====== <list-group> * Find $n$ when ${^nC_{12}}={^nC_6}$ ---// BISE Gujranwala(2015)// * Evaluate ${^{20}C_{17}}$ without calculator ---// BISE Gujranwala(2015)// * How many $6-digit$ numbers can be forme
- Ch 05: Partial Fraction
- tion ====== <list-group> * Resolve $\frac{1}{(x^2+1)(x+1)}$ into partial fraction --- //BISE Gujrawala(2015)// * Resolve the following into partial fractions $\frac{2x^4}{(x-3)(x+2)^2}$ --- //BISE Gujrawala(2017)// * Resolve $\frac{x^2+1}{(x+1)(x-1)}$ into partial fraction --- //BISE Sargodha(2015),BISE Sargodha(2017)// * Resolve $\frac{9}{(x+2)^2(x-1)}$ into partial fraction --- //BISE Sargodha(2015)// * Solv
- Ch 09: Fundamental of Trigonometry
- tric functions of $\theta$, If $cos \theta=\frac{12}{13}$ and the terminal side of the angle is not in the $I$ Quadrant. --- //BISE Gujrawala(2015)// * Express in radian $120'40''$ --- //BISE Gujrawala(2017)// * Verify $2 $ $\sin 45^{\circ} +\frac{1}{2}\cos 45^{\circ}=\fr
- Ch 10: Trigonometric Identities
- in 70^{\circ}=\frac{1}{16}$ --- // BISE Gujrawala(2015)// * Prove that $\sin(\frac{\pi}{4}-\theta)\sin(\frac{\pi}{4}+\theta)=\frac{1}{2}\csc^2\theta$ --- // BISE Gujrawala(2017)// * Prove that $\sin(\theta+\frac{\pi}{6})=\cos\theta$ --- // B
- Ch 02: Functions and Groups
- ====== Ch 02: Functions and Groups ====== The important questions of Chapter 2 of Textbook of Algebra and Trigonometry Class XI ... s. <list-group> * Find multiplicative inverse $(2,4)$ --- // BISE Gujrawala(2015)// * Find power set of $\{a,\{b,c\}\}$ --- // BISE Gujrawala(2
- Ch 14: Solutions of Trigonometric Equation
- tric Equation ====== <list-group> * Solve $cose^2\theta=\frac{4}{3}$ in $[0,2\pi]$--- //BISE Gujrawala(2015), BISE Sargodha(2016), BISE Gujrawala(2017)// * Solve $sinx=\frac{1}{2}$ in $[0,2\pi]$--- //BIS
- Ch 01: Number Systems
- p> * Simplify $(i)^{19}$ --- //BISE Gujrawala(2015)// * If $z$ be a complex number then prove that $\overline{z_1 + z_2}=\overline z_1 +\overline z_2$ --- // BISE Sargodha(2015)// * Simplify $\frac{2}{\sqrt{5}+\sqrt{-8}}$ in the form of $a+ib$
- Ch 13: Inverse Trigonometry Functions
- t-group> * Find the value of $cos^{-1}(\frac{1}{2})$ --- //BISE Gujrawala(2015)// * Prove that $2tan^{-1}(\frac{1}{3})+tan^{-1}(\frac{1}{7})=\frac{\pi}{4}$ --- //BISE Gujrawala(2015), FBISE(2016)// * Prove that $sin^{-1}(\frac
- Ch 11: Trigonometric Functions and Their Graphs
- ind the period of $\sin 4x$ --- //BISE Gujrawala(2015)// * Find the period of $\tan 4x$ --- //BISE Gujrawala(2017)// * Find the period of $\sin\frac{x}{5}$ --- //BISE Sargodha(2015), BISE Sargodha(2016)// * Find the period of $cosec10x$ --- //BISE Sargodha(2015)// * Find t