JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

\omega

is a complex cube root of unity, then for positive integral value of

n

, the product of

\omega .\;{\omega ^2}.\;{\omega ^3} \ldots \;{\omega ^n}

will be

View answer and explanation

Correct option: D

Both (2) and (3)

Option D (Both (2) and (3)) is correct because the product simplifies to

\omega^{\frac{{n(n+1)}}{{2}}}

, which can be either 1 or

\omega

depending on the value of n.

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