Question icon
Grade upto college level Algebra

If x and y are positive real numbers and m, n are any positive integers, then xn ym/(1 + x2n) (1 + y2m) > 1/4

Profile image of Amit Saxena
12 Years agoGrade upto college level
Answers icon

1 Answer

Profile image of Navjyot Kalra
12 Years ago
Sol. As x and y are positive real numbers and m and n are positive integers
∴ 1 + x2n/2 ≥ (1 x x2n)1/2 and 1 + y2m/2 ≥ (1 x y2m)1/2
{ For two +ve numbers A. M. ≥ G. M.}