JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

Let

S=\left\{z \in \mathbb{C}: \bar{z}=i\left(z^{2}+\operatorname{Re}(\bar{z})\right)\right\}

. Then

\sum\limits_{{z \in S}}|z|^{2}

is equal to

View answer and explanation

Correct option: B

The correct answer is B (4) because it is found by solving the given complex equation and summing the squared magnitudes of the solutions.

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