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MCQMediumJEE Main 2024 · 4 April, Shift 2Argand Plane & Geometry

Mathematics Question from JEE Main 2024 · 4 April, Shift 2

The area of the region

S={z∈C:∣z−1∣≤2, (z+zˉ)+i(z−zˉ)≤2, Im⁡(z)≥0}S = \left\{ z \in \mathbb{C} : |z - 1| \le 2,\ (z + \bar{z}) + i(z - \bar{z}) \le 2,\ \operatorname{Im}(z) \ge 0 \right\}

is:

  • A

    π/3\pi/3

  • B

    3π/23\pi/2

  • C

    17π/817\pi/8

  • D

    7π/47\pi/4

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