JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

{\left( {\frac{{ - 1 + \sqrt { - 3} }}{2}} \right)^{100}} + {\left( {\frac{{ - 1 - \sqrt { - 3} }}{2}} \right)^{100}}

is equal to

View answer and explanation

Correct option: C

- 1

Option C (-1) is correct because the expression simplifies to

\omega + {\omega ^2}

which equals -1, where

\omega

is a complex cube root of unity.

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\alpha, \beta

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