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NDA 2025 · PYQ · Complex Numbers · easy

If z ≠ 0 is a complex number, then what is amp(z) + amp(z̄) equal to?

Answer

The correct answer is A: 0. If z = r·e^(iθ), then z̄ = r·e^(-iθ). So amp(z) = θ and amp(z̄) = -θ.

  1. A.0✓ Correct
  2. B.π/2
  3. C.π
  4. D.2π

Explanation

If z = r·e^(iθ), then z̄ = r·e^(-iθ). So amp(z) = θ and amp(z̄) = -θ. Their sum is 0.
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