JEE Main 20244 Apr, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002The area (in sq. units) of the region S={z∈C:∣z−1∣≤2;(z+zˉ)+i(z−zˉ)≤2,lm(z)≥0}S=\{z \in \mathbb{C}:|z-1| \leq 2 ;(z+\bar{z})+i(z-\bar{z}) \leq 2, \operatorname{lm}(z) \geq 0\}S={z∈C:∣z−1∣≤2;(z+zˉ)+i(z−zˉ)≤2,lm(z)≥0} isAOption A. 7π4\frac{7 \pi}{4}47πBOption B. 3π2\frac{3 \pi}{2}23πCOption C. 7π3\frac{7 \pi}{3}37πDOption D. 17π8\frac{17 \pi}{8}817πCheckSkip · show solution