JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

Let

z \in \mathbf{C}

be such that

\operatorname{Re}\left(z^2\right)=0

, then

View answer and explanation

Correct option: B

|\operatorname{Re}(z)|=|\operatorname{Im}(z)|

Option B (

|\operatorname{Re}(z)|=|\operatorname{Im}(z)|

) is correct because if

\operatorname{Re}(z^2)=0

, then the real and imaginary parts of z must have equal magnitudes.

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