Question

Objective Questions (MCQ)

If α and β are the roots of the equation $3x^2+8x+2=0$ then $\left(\frac{1}{\alpha }+\frac{1}{\beta }\right)$ = ?

(a) $\frac{-3}{8}$ (b) $\frac{2}{3}$ (c) −4 (d) 4

Answer 1

It is given that α and β are the roots of the equation $3x^2+8x+2=0$.

$\therefore \alpha +\beta =-\frac{8}{3}$ and $\alpha \beta =\frac{2}{3}$
$\frac{1}{\alpha }+\frac{1}{\beta }=\frac{\alpha +\beta }{\alpha \beta }=\frac{-{\displaystyle \frac{8}{3}}}{{\displaystyle \frac{2}{3}}}=-4$

Hence, the correct answer is option C.