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MCQMediumJEE Main 2023 · 13 April, Shift 2Complex Numbers Basics

Mathematics Question from JEE Main 2023 · 13 April, Shift 2

Let S={z∈C:zˉ=i(z2+Re⁡(zˉ))}S = \left\{ z \in \mathbb{C} : \bar{z} = i\left(z^2 + \operatorname{Re}(\bar{z})\right) \right\}. Then ∑z∈S∣z∣2\sum_{z \in S} |z|^2 is equal to:

  • A

    44

  • B

    72\frac{7}{2}

  • C

    33

  • D

    52\frac{5}{2}

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