JEE Main 201911 Jan, Evening shiftMathematicsEasySequence and Series179× since 2002Let x, y be positive real numbers and m, n positive integers. The maximum value of the expression xmyn(1+x2m)(1+y2n){{{x^m}{y^n}} \over {\left( {1 + {x^{2m}}} \right)\left( {1 + {y^{2n}}} \right)}}(1+x2m)(1+y2n)xmyn is :AOption A. 12{1 \over 2}21BOption B. 14{1 \over 4}41COption C. m+n6mn{{m + n} \over {6mn}}6mnm+nDOption D. 1CheckSkip · show solution