MCQMediumJEE Main 2024 · 1 February, Shift 1Argand Plane & Geometry

Mathematics Question from JEE Main 2024 · 1 February, Shift 1

Let S={z∈C:∣z−1∣=1 and (2−1)(z+zˉ)−i(z−zˉ)=22}S = \left\{z \in \mathbb{C} : |z - 1| = 1 \text{ and } (\sqrt{2} - 1)(z + \bar{z}) - i(z - \bar{z}) = 2\sqrt{2}\right\}. Let z1,z2∈Sz_1, z_2 \in S be such that ∣z1∣=max⁡z∈S∣z∣|z_1| = \max_{z \in S} |z| and ∣z2∣=min⁡z∈S∣z∣|z_2| = \min_{z \in S} |z|. Then ∣2 z1−z2∣2\left|\sqrt{2}\,z_1 - z_2\right|^2 equals:

  • A

    11

  • B

    44

  • C

    33

  • D

    22

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