JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

m

and

x

are two real numbers, then

e^{2 m i \cot ^{-1} x}\left(\frac{x i+1}{x i-1}\right)^m

(where

i=\sqrt{-1}

) is equal to

View answer and explanation

Correct option: A

Option A (1) is correct because the expression simplifies to 1 using trigonometric identities and Euler's formula.

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