JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

\alpha

and

\beta

are the complex cube roots of unity, then

\alpha^4+\beta^4+\alpha^{-1} \beta^{-1}=

View answer and explanation

Correct option: A

Option A (0) is correct because, after substituting

\alpha = \omega

and

\beta = \omega^2

and simplifying using the properties of cube roots of unity, the expression evaluates to 0.

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