JEE Main 2016Session, Shift 1MathematicsMediumIntegral Calculus369× since 2002The area (in sq. units) of the region {(x,y):y2≥2x and x2+y2≤4x,x≥0,y≥0}\left\{ {\left( {x,y} \right):{y^2} \ge 2x\,\,\,and\,\,\,{x^2} + {y^2} \le 4x,x \ge 0,y \ge 0} \right\}{(x,y):y2≥2xandx2+y2≤4x,x≥0,y≥0} is :AOption A. π−423\pi - {{4\sqrt 2 } \over 3}π−342BOption B. π2−223{\pi \over 2} - {{2\sqrt 2 } \over 3}2π−322COption C. π−43\pi - {4 \over 3}π−34DOption D. π−83\pi - {8 \over 3}π−38CheckSkip · show solution