JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

For

n = 6\;k,\;k \in Z,{\left( {\frac{{1 - i\sqrt 3 }}{2}} \right)^n} + {\left( {\frac{{ - 1 - i - \sqrt 3 }}{2}} \right)^n}

has the value

View answer and explanation

Correct option: D

The correct answer is D (2) because substituting

n = 6k

into the expression and using the properties of complex cube roots of unity simplifies the expression to 2.

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