JEE Main 2016Session, Shift 1MathematicsEasyDifferential Equations163× since 2002If a curve y=f(x)y=f(x)y=f(x) passes through the point (1,−1)(1,-1)(1,−1) and satisfies the differential equation, y(1+xy)dx=xy(1+xy) dx=xy(1+xy)dx=x dydydy, then f(−12)f\left( { - {1 \over 2}} \right)f(−21) is equal to :AOption A. 25{2 \over 5}52BOption B. 45{4 \over 5}54COption C. −25-{2 \over 5}−52DOption D. −45-{4 \over 5}−54CheckSkip · show solution