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Nature of Roots

IF α and ...

Question

IF $α$ and $β$ are the roots of the equation $3 x^{2} + x - 10 = 0$ , then the value of $\frac{1}{α} + \frac{1}{β}$ is.............

A

1

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B

- \frac{1}{10}

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C

\frac{1}{10}

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D

\frac{1}{3}

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Solution

The correct option is C $\frac{1}{10}$
Given equation $3 x^{2} + x - 10 = 0$
$\frac{1}{α} + \frac{1}{β} = \frac{α + β}{α β} = \frac{- \frac{1}{3}}{- \frac{10}{3}} = \frac{1}{10}$ .

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