Sequences and Series

JEE Main 2019 · 11 Jan, Evening shift · Q5177

MathematicsEasy178×since 2002Q5177

Let x, y be positive real numbers and m, n positive integers. The maximum value of the expression

{{{x^m}{y^n}} \over {\left( {1 + {x^{2m}}} \right)\left( {1 + {y^{2n}}} \right)}}

is :

JEE Main 2019 · 11 Jan, Evening shift · Q5177

MathematicsEasy178×since 2002Q5177

Let x, y be positive real numbers and m, n positive integers. The maximum value of the expression

{{{x^m}{y^n}} \over {\left( {1 + {x^{2m}}} \right)\left( {1 + {y^{2n}}} \right)}}

is :

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