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NDA2025MathematicsComplex NumberActual

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

Options

  1. A0
  2. B2
  3. C2

Correct answer

A. 0

Step-by-step solution

Let z = r( + i ) where r > 0 and = amp (z) . The conjugate of z is given by z = r( - i ) . This can be rewritten as z = r( (- ) + i (- )) . Thus, the amplitude of z is amp ( z ) = - . Therefore, amp (z) + amp ( z ) = + (- ) = 0 . Answer: 0

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