JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

\alpha, \beta

are the complex cube roots of unity, then

\alpha^3+\beta^3+\alpha^{-2} \beta^{-2}=

View answer and explanation

Correct option: B

The correct answer is 3 because when

\alpha

and

\beta

are complex cube roots of unity, substituting

\omega

and

\omega^2

simplifies the expression to 3.

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