# Objective Questions (MCQ)

Question:

Objective Questions (MCQ)

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

(a) $\frac{-3}{8}$

(b) $\frac{2}{3}$

(c) $-4$

(d) 4

Solution:

It is given that $\alpha$ and $\beta$ are the roots of the equation $3 x^{2}+8 x+2=0$.

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

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

Hence, the correct answer is option C.