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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If α=−1+i3\alpha=-1+i \sqrt{3} and nn is a positive integer which is not a multiple of 3 , then
α2n+2nαn+22n=\alpha^{2 n}+2^n \alpha^n+2^{2 n}=
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Correct option: C
0
Option C (0) is correct because when α is expressed in terms of ω, the expression simplifies to 0 since n is not a multiple of 3.

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