Class 11Mathematics2 Complex Numbers and Quadratic Equations: Quadratic EquationsSolution of quadratic equations and Nature of roots
MediumLet $p(x)$ be a quadratic polynomial with real coefficients. If $p(x)=0$ has only purely imaginary roots,then the zeroes of the polynomial $p(p(x))$ are
- Aonly real numbers
- Bonly purely imaginary numbers
- Conly rational numbers
- Donly complex numbers of the form $a+ib$ with $a \neq 0$ and $b \neq 0$
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