JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

\alpha_1, \alpha_2, \alpha_3, \ldots, \alpha_{100}

are all the 100th roots of unity. The numerical value of

\sum_{1 \leq j \leq j \leq 100}\left(\alpha_j \alpha_j\right)^5

View answer and explanation

Correct option: B

Option B (0) is correct because the sum of the fifth powers of the 100th roots of unity is zero.

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