JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

z^2+z+1=0

, where

z

is a complex number, the value of

\left(z+\frac{1}{z}\right)^2+\left(z^2+\frac{1}{z^2}\right)^2+\left(z^3+\frac{1}{z^3}\right)^2+\ldots+\left(z^6+\frac{1}{z^6}\right)^2

View answer and explanation

Correct option: D

Option D (12) is correct because the sum can be simplified using the properties of complex roots of unity.

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\alpha, \beta

\gamma

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