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Mathematics · 2021

JEE Main · 26 August 2021, Shift 2 · Q88

The least positive integer n such that ((2 i)^n)/((1-i)^n -2), i=√ -1, is a positive integer, is \ \ \ \.

The least positive integer n such that $\displaystyle \frac{(2 i)^{\mathrm{n}}}{(1-i)^{\mathrm{n}-2}}, i=\sqrt{-1}$, is a positive integer, is \_\_\_\_.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.