JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

z = {\left( {\frac{{\sqrt 3 }}{2} + \frac{i}{2}} \right)^5} + {\left( {\frac{{\sqrt 3 }}{2} - \frac{i}{2}} \right)^5},

then

View answer and explanation

Correct option: B

\mathrm{IM\;}\left( z \right) = 0

The correct answer is B (

\mathrm{IM\;}\left( z \right) = 0

) because the imaginary part of the simplified complex number

z

is zero, indicating that

z

is a real number.

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