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If the roots of Quadratic equation $a x^{2} + b x + c$ are reciprocal to each other,

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Product of the roots is “1”

a = c

Product of the roots is

\frac{" c "}{b}

Both A and B

answer is D.

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Detailed Solution

a x^{2} + b x + c

Let the root be $α, \frac{1}{α}$

$α + \frac{1}{α} = - \frac{b}{a}$

$α \times \frac{1}{α} = \frac{c}{a} \Rightarrow \frac{c}{a} = 1 \Rightarrow a = c$

Sum of the roots $= \frac{- b}{a} = \frac{- b}{c}$

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