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JEE Main 2019 · 11 Jan · Shift II

JEE Main 2019 Mathematics question on Sequences and Series

Let x,yx, y be positive real numbers and m,nm, n positive integers. The maximum value of the expression xmyn(1+x2m)(1+y2n)\frac{x^m y^n}{(1 + x^{2m})(1 + y^{2n})} is
  1. A.
    12\frac{1}{2}
  2. B.
    11
  3. C.
    14\frac{1}{4}
  4. D.
    m+n6mn\frac{m+n}{6mn}
Show answer

Correct option: C

[JEE Main 2019 · 11 Jan · Shift II]

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