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Mathematics · JEE | COMPLEX NUMBERS AND QUADRATIC EQUATIONS

हिन्दी

If \( (\frac{1 + i}{1 - i})^m = 1 \), then find the least positive integral value of \( m \).

  1. A
    1
  2. B
    4
  3. C
    2
  4. D
    8
View Answer & Solution

Correct answer · Option B

4

Explanation

Simplifying \( \frac{1+i}{1-i} = i \), the equation becomes \( i^m = 1 \). The least positive integer \( m \) for which \( i^m = 1 \) is 4.
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