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- Ch 02: Functions and Groups
- ,4\}$, $B=\{3,4,5,6,7,8\}$ and $C=\{5,6,7,9,10\}$ then verify associativity of union --- // BISE Sarg... (2015)// * If $A,B$ are elements of a group $G$ then show that $(ab)^{-1}=b^{-1}a^{-1}$ --- // BI... 015)// * If $a,b$ being elements of a group $G$ then solve (a) $ax=b$ (b) $x a=b$ --- // BI
- Ch 04: Quadratic Equations
- the roots of $px^2+qx+q=0$ are $\alpha$, $\beta$,then prove that $$\sqrt {\frac{\alpha}{\beta}}+\sqrt {... e polynomial $x^3+2x^2+kx+4$ is divided by $x-2$, then the reminder is $14$, find $k$. --- //BISE Gujraw... \beta$ are the roots of the equation $5x^2-x-2=0$ then form the equation whose roots are $\frac{3}{\alph
- Ch 06: Sequences and Series
- 1}{a}$, $\frac{1}{b}$, $\frac{1}{c}$ are in $A.P$ then show that common difference is $\frac{a-c}{2ac}$ ... {9}x^2+\frac{8}{27}x^3+...$ and $0<x<\frac{3}{2}$ then show that $x=\frac{3y}{2(1+y)}$ --- //BISE Sargod... }+\frac{1}{4}x^2+\frac{1}{8}x^3+...$ and $0<x<2$, then prove that $x=\frac{2y}{1+y}$ --- //BISE Lahore(2
- Ch 01: Number Systems
- Gujrawala(2015)// * If $z$ be a complex number then prove that $\overline{z_1 + z_2}=\overline z_1 +\
- Ch 08: Mathematical Induction and Binomial Theorem
- at bits square and higher powers can be neglected then show that $\frac{1-x}{\sqrt{1+x}} \approx {1-\fra
- Ch 09: Fundamental of Trigonometry
- {\circ}=xsin45^{\circ}cos45^{\circ}tan60^{\circ}$ then find $x$ --- //BISE Lahore(2017)// * $\frac{tan