JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

\omega

is a complex cube root of unity, then the value of

{\omega ^{99}} + {\omega ^{100}} + {\omega ^{101}}

View answer and explanation

Correct option: D

Option D (0) is correct because the sum of consecutive powers of omega (

\omega

) where the powers differ by 1, and are multiples of 3, is always 0.

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