The quadratic equation p(x) = 0 with real coefficients has …

Maths JEE - Advanced Previous Year Paper JEE-Advanced-2014-Paper-2 Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

The quadratic equation p(x) = 0 with real coefficients has purely imaginary roots. Then the equation p(p(x)) = 0 has

only purely imaginary roots

all real roots

two real and two purely imaginary roots

neither real nor purely imaginary roots

Text Solution

Verified by Experts

The correct answer is:

P (x) = ax 2 + b with a, b of same sign.

P(P(x)) = a(ax 2 + b) 2 + b

If x R or ix R

Hence real or purely imaginary number can not satisfy P(P(x)) = 0.

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