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JEE Math Practice Question

The area of the region described by $$A = \left\{ {\left( {x,y} \right):{x^2} + {y^2} \le 1} \right.$$ and $$\left. {{y^2} \le 1 - x} \right\}$$ is :

  1. A.$${\pi \over 2} - {2 \over 3}$$
  2. B.$${\pi \over 2} + {2 \over 3}$$
  3. C.$${\pi \over 2} + {4 \over 3}$$
  4. D.$${\pi \over 2} - {4 \over 3}$$

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