JEE Math Practice Question
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 :
- A.$${1 \over 2}$$
- B.$${1 \over 4}$$
- C.$${{m + n} \over {6mn}}$$
- D.1
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