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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy
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Application +4 | -1
If (1+i1−i)n=−1,n∈N\left(\frac{1+i}{1-i}\right)^n=-1, \mathrm{n} \in \mathbf{N}, then least value of nn is
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Correct option: B
2
Option B (2) is correct because the least positive integer value of n that satisfies the equation is 2, as (1+i)/(1-i) simplifies to i, and i2 = -1.

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