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AP EAMCET202319 May 2023Morning ShiftMathematicsComplex NumberActual

The multiplicative inverse of z is

Options

  1. A1 z+ z
  2. Bz | z |
  3. Cz |z|^2
  4. D1 z

Correct answer

C. z |z|^2

Step-by-step solution

Let multiplicative inverse of z , be 'A' hence z A =1 A= 1 z = 1 z z z (where z is conjugate of z ) A= z z z = z |z|^2 z z =|z|^2 Hence option (c) is correct.

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