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JEE Math Practice Question

The area (in sq. units) of the region $$\left\{ {\left( {x,y} \right):{y^2} \ge 2x\,\,\,and\,\,\,{x^2} + {y^2} \le 4x,x \ge 0,y \ge 0} \right\}$$ is :

  1. A.$$\pi - {{4\sqrt 2 } \over 3}$$
  2. B.$${\pi \over 2} - {{2\sqrt 2 } \over 3}$$
  3. C.$$\pi - {4 \over 3}$$
  4. D.$$\pi - {8 \over 3}$$

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