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IAT IISER2021MathematicsQuadratic Equation

For each a R , define p_a(z)=z^2+2 e^ a-e^a z+e^ a-e^a . Then, which one of the followings is true?

Options

  1. Ap_a has only non-real complex roots for all a R .
  2. Bp_a has a real root for all a R .
  3. Cp_a has a real root if and only if a 1 .
  4. Dp_a has a real root if and only if a -1 .

Correct answer

A. p_a has only non-real complex roots for all a R .

Step-by-step solution

No solution available.

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