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Complex Numbers question

2023 · 13 Apr · Shift 2 · Q24

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2023 · 13 Apr · Shift 2 · Q24

Complex Numbers question

2023 · 13 Apr · Shift 2 · Q24

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let

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

. Then

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

is equal to :

A
$\frac{7}{2}$
B
4
C
3
D
$\frac{5}{2}$

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