Classes
Class 9Class 10First YearSecond Year
$1. Multiple Choice QuestionsFour possible answers are given for the following questions. Tick (\checkmark) the correct answer.(i) If \alpha \beta are the roots of 3 x^{2}+5 x-2=0 then \alpha+\beta is(a) \frac{5}{3} (b) \frac{3}{5} (c) \frac{-5}{3} (d) \frac{-2}{3}$

$(x) \alpha^{2}+\beta^{2} is equal to(a) \alpha^{2}-\beta^{2} (b) \frac{1}{\alpha^{2}}+\frac{1}{\beta^{2}} (c) (\alpha+\beta)^{2}-2 \alpha \beta (d) \alpha+\beta$

$(ix) \frac{1}{\alpha}+\frac{1}{\beta} is equal to(a) \frac{1}{\alpha} (b) \frac{1}{\alpha}-\frac{1}{\beta} (c) \frac{\alpha-\beta}{\alpha \beta} (d). \frac{\alpha+\beta}{\alpha \beta}$

$4. Find p if(ii) the roots of the equation x^{2}+3 x+p-2=0 differ by 2 .$

$2 . Evaluate(i) \left(1-\omega-\omega^{2}\right)^{7}$

$1. Without solving find the sum and the product of the roots of the following ratic equations.(ii) 3 x^{2}+7 x-11=0$

$6. Find m if sum and product of the roots of the following equations is equal to a given number \lambda .(ii) 4 x^{2}-(3+5 m) x-(9 m-17)=0$