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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy
1 of 1
Application +4 | -1
The smallest positive integer nn for which (1+i1−i)n=−1\left(\frac{1+i}{1-i}\right)^n=-1 is
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Correct option: B
2
Option B (2) is correct because when n=2, ((1+i)/(1-i))^n simplifies to -1, satisfying the given condition.

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