If one root of $5 x^{2} + 13 x + k = 0$ is reciprocal of the other, then k=

$0$

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$5$

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$\frac{1}{6}$

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$6$

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Solution

The correct option is B
$5$

Let first root $= α$ and second root $= \frac{1}{α}$

Product of roots =1
$\Rightarrow \frac{k}{5} = 1 \Rightarrow k = 5$

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If one root of $5 x^{2} + 13 x + k = 0$ is reciprocal of the other, then k=

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