If the roots of the quadratic equation $6 x^{2} - 13 x + m = 0$ are reciprocal of each other then $m =$

- 13

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13

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- 6

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6

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Solution

The correct option is C $6$
$6 x^{2} - 13 x + m = 0$

Let one root $= α$

Another will be $= \frac{1}{α}$

Product of root $= \frac{m}{6}$

$α \times \frac{1}{α} = \frac{m}{6}$

$m = 6$ .

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