JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Analyzing +4 | -1

Let

x, y

be positive real numbers and

m, n

positive integers. The maximum value of the expression

\frac{{{x^m}{y^n}}}{{(1 + {x^{2m}})(1 + {y^{2n}})}}

View answer and explanation

Correct option: C

\frac{1}{4}

Option C (

\frac{1}{4}

) is correct because the maximum value of the expression is achieved when

x^m = 1

and

y^n = 1

, resulting in

\frac{1}{4}

after applying AM-GM inequality.

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