JEE Main 2014Session, Shift 1MathematicsMediumIntegral Calculus369× since 2002The area of the region described by A={(x,y):x2+y2≤1A = \left\{ {\left( {x,y} \right):{x^2} + {y^2} \le 1} \right.A={(x,y):x2+y2≤1 and y2≤1−x}\left. {{y^2} \le 1 - x} \right\}y2≤1−x} is :AOption A. π2−23{\pi \over 2} - {2 \over 3}2π−32BOption B. π2+23{\pi \over 2} + {2 \over 3}2π+32COption C. π2+43{\pi \over 2} + {4 \over 3}2π+34DOption D. π2−43{\pi \over 2} - {4 \over 3}2π−34CheckSkip · show solution