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JEE Main 2014

JEE Main 2014 Mathematics question on Complex Numbers and Quadratic Equations

In the quadratic equation p(x)=0p(x) = 0 with real coefficients has purely imaginary roots. Then, the equation p[p(x)]=0p[p(x)] = 0 has
  1. A.
    only purely imaginary roots
  2. B.
    all real roots
  3. C.
    two real and two purely imaginary roots
  4. D.
    neither real nor purely imaginary roots
Show answer

Correct option: D

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