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JEE Math Practice Question

The area of the region $$\left\{(x, y):|x-1| \leq y \leq \sqrt{5-x^{2}}\right\}$$ is equal to :

  1. A.$$\frac{5}{2} \sin ^{-1}\left(\frac{3}{5}\right)-\frac{1}{2}$$
  2. B.$$\frac{5 \pi}{4}-\frac{3}{2}$$
  3. C.$$\frac{3 \pi}{4}+\frac{3}{2}$$
  4. D.$$\frac{5 \pi}{4}-\frac{1}{2}$$

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