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JEE Math Practice Question

The area of the region, enclosed by the circle x2 + y2 = 2 which is not common to the region bounded by the parabola y2 = x and the straight line y = x, is:

  1. A.$${1 \over 6}\left( {24\pi - 1} \right)$$
  2. B.$${1 \over 3}\left( {12\pi - 1} \right)$$
  3. C.$${1 \over 3}\left( {6\pi - 1} \right)$$
  4. D.$${1 \over 6}\left( {12\pi - 1} \right)$$

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