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JEE Main 2014

JEE Main 2014 Mathematics question on Definite Integrals and Areas

The area (in sq units) of the region described by A={(x,y):x2+y2≤1 and y2≤1−x}A = \{(x, y) : x^2 + y^2 \leq 1 \text{ and } y^2 \leq 1 - x\} is
  1. A.
    π2+43\dfrac{\pi}{2} + \dfrac{4}{3}
  2. B.
    π2−43\dfrac{\pi}{2} - \dfrac{4}{3}
  3. C.
    π2−23\dfrac{\pi}{2} - \dfrac{2}{3}
  4. D.
    π2+23\dfrac{\pi}{2} + \dfrac{2}{3}
Show answer

Correct option: A

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