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Question 230011
JEE Mathematics · Medium

Complex Numbers: Algebra MCQ

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AlgebraMediumQuestion 230011

Question

If z = (1+i)/(1−i), then z⁴ is:
  1. A
    1
    Correct
  2. B
    −1
  3. C
    i
  4. D
    −i

Correct answer

1

Explanation

z = (1+i)/(1−i) × (1+i)/(1+i) = (1+i)²/2 = 2i/2 = i. So z⁴ = i⁴ = 1.

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