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JEE Main2018MathematicsComplex NumberActual

The least positive integer n for which 1 + i 3 1 - i 3 n = 1 is

Options

  1. A2
  2. B5
  3. C6
  4. D3

Correct answer

D. 3

Step-by-step solution

Given 1 + i 3 1 - i 3 n = 1 ⇒ - 2 ω 2 - 2 ω n = 1 ⇒ ω n = 1 Hence, the least positive integer value of n is 3 .

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