JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

\omega

is an imaginary cube root of unity,

n

is a positive integer but not a multiple of 3, then the value of

1 + {\omega ^n} + {\omega ^{2n}}

View answer and explanation

Correct option: C

Option C (0) is correct because when n is not a multiple of 3, the expression

1 + {\omega ^n} + {\omega ^{2n}}

simplifies to 0, where

\omega

is a complex cube root of unity.

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