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AP EAMCET202119 Aug 2021Evening ShiftMathematicsComplex NumberActual

If 1 + i 1 - i m = 1 , then m can not be equal to

Options

  1. A1934
  2. B2024
  3. C2172
  4. D10 100

Correct answer

A. 1934

Step-by-step solution

Given that, 1 + i 1 - i m = 1 Here, 1 + i 1 - i = 1 + i 1 - i × 1 + i 1 + i = 1 + i 2 2 = 1 + i 2 + 2 i 2 = 2 i 2 = i Now, we get 1 + i 1 - i m = i m = 1 We know that, i 4 = 1 From options we see that only 1934 doesnot satisfy this condition.

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