Reciprocal Roots of Quadratic Equation

Question

If the roots of the equation $px^2 + x + r = 0$ are reciprocal to each other, then which one of the following is correct ?

Accepted Answer

B. For a quadratic equation $ax^2 + bx + c = 0$, the product of roots is $\frac{c}{a}$. If roots are reciprocal, product of roots = $1$. Here, $\frac{r}{p} = 1 \implies p = r$. Hence, Option B is correct.

Answer

p = 2r

Answer

p = r

Answer

2p = r

Answer

p = 4r

Reciprocal Roots of Quadratic Equation

Explanation

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