Let …. Then … is equal to :

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Complex Numbers

JEE Main 2023 · 13 Apr, Evening shift · Q3228

MathematicsMedium53×since 2002Q3228

Let

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

. Then

\sum_\limits{z \in \mathrm{S}}|z|^{2}

is equal to :

JEE Main 2023 · 13 Apr, Evening shift · Q3228

MathematicsMedium53×since 2002Q3228

Let

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

. Then

\sum_\limits{z \in \mathrm{S}}|z|^{2}

is equal to :