The quadratic equation with real coefficients has purely imaginary roots

MATHEMATICS · Single correct · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

The quadratic equation

p(x)=0

with real coefficients has purely imaginary roots. Then

p(p(x))=0

has (1) only purely imaginary roots (2) all real roots (3) two real and two purely imaginary roots (4) neither real nor purely imaginary roots