NVAMediumJEE Main 2025 · 4 April, Shift 1Argand Plane & Geometry

Mathematics Question from JEE Main 2025 · 4 April, Shift 1

Let A={z∈C:∣z−2−i∣=3}A = \{ z \in \mathbb{C} : |z - 2 - i| = 3 \}, B={z∈C:Re⁡(z−iz)=2}B = \{ z \in \mathbb{C} : \operatorname{Re}(z - iz) = 2 \}, and S=A∩BS = A \cap B. Then ∑z∈S∣z∣2\sum_{z \in S} |z|^2 is equal to _____.

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