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JEE Main20202 Sep 2020Evening ShiftMathematicsComplex NumberActual

The imaginary part of 3 + 2 - 54 1 2 - 3 - 2 - 54 1 2 ,can be

Options

  1. A- 6
  2. B- 2 6
  3. C6
  4. D6

Correct answer

B. - 2 6

Step-by-step solution

| 3 + 2 - 54 | = 9 + 216 = 15 3 + 2 - 54 1 / 2 = ± 15 + 3 2 + i 15 - 3 2 = ± 3 + i 6 Also 3 - 2 - 54 1 / 2 = ± 3 - i 6 Hence 3 + 2 - 54 1 / 2 - 3 - 2 - 54 1 / 2 = ± 2 6 i or ± 6 Hence, imaginary part = ± 2 6

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