JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

\omega \left( { \ne 1} \right)

be a cube root of unity and

{\left( {1 + {\omega ^2}} \right)^n} = {\left( {1 + {\omega ^4}} \right)^n}

, then the least positive value of

n

View answer and explanation

Correct option: B

Option B (3) is correct because it is the smallest positive integer n that satisfies the equation

{\omega}^n = 1

, where

\omega

is a cube root of unity.

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