JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

m

and

n

are the smallest positive integers satisfying the relation

\left(2 \operatorname{CiS} \frac{\pi}{6}\right)^m=\left(4 \operatorname{CiS} \frac{\pi}{4}\right)^n

, where

i=\sqrt{-1}

(m+n)

equals to

View answer and explanation

Correct option: B

Option B (72) is correct because simplifying the given expression and equating the powers leads to m=48 and n=24, thus m+n=72.

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