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Derivative of Standard Functions

If the roots ...

Question

If the roots of $p x^{2} + q x + 2 = 0$ are reciprocals of each other, then

p = 0

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p = - 2

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p = \pm 2

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p = 2

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Solution

The correct option is B $p = 2$
If the roots are reciprocal of each other.
Then product of roots will be $1$ .
Product of roots $= \frac{2}{p}$ $= 1$
$∴ p = 2$

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