JEE Math Practice Question
The area (in sq. units) of the region $$S=\{z \in \mathbb{C}:|z-1| \leq 2 ;(z+\bar{z})+i(z-\bar{z}) \leq 2, \operatorname{lm}(z) \geq 0\}$$ is
- A.$$\frac{7 \pi}{4}$$
- B.$$\frac{3 \pi}{2}$$
- C.$$\frac{7 \pi}{3}$$
- D.$$\frac{17 \pi}{8}$$
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