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(C) Let the roots of the quadratic equation $ax^2 + bx + c = 0$ be $\alpha$ and $\beta$.If the roots are reciprocal,then $\beta = \frac{1}{\alpha}$,wh

Vedclass · Accepted Answer

$c = a$

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(C) Let the roots of the quadratic equation $ax^2 + bx + c = 0$ be $\alpha$ and $\beta$.If the roots are reciprocal,then $\beta = \frac{1}{\alpha}$,which implies $\alpha \cdot \beta = 1$.According to the properties of quadratic equations,the product of the roots is given by $\frac{c}{a}$.Therefore,$\frac{c}{a} = 1$,which simplifies to $c = a$.

The roots of the equation $ax^2 + bx + c = 0$ will be reciprocal if

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