JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

If the

5^{\text {th }}

roots of unity are

1, z_1, z_2, z_3, z_4

then

z_1{ }^2+z_2{ }^2+z_3{ }^2+z_4{ }^2

is equal to

View answer and explanation

Correct option: B

-1

Option B (-1) is correct because the sum of the squares of the non-real fifth roots of unity is -1.

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