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.
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