Let S= C: z=i(z²+Re(z)). Then Σ z S |z|² is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2023 Mathematics question

JEE Main 2023 · 13 Apr, Evening shift · Q3228

JEE Main 202313 Apr, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

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

JEE Main 202313 Apr, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

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 :