Mathematical Circles Inequality Problem

Mathematical Circles Inequality Problem

Understand the problem If (a,b) are positive reals such that (a+b<2) ,then prove that  $$ displaystyle frac {1}{1+a^2} + frac {1}{1+b^2} leq frac {2}{1+ab} $$ Source of the problem Mathematical Circles Topic Inequality involving AM-GM Difficulty Level Medium...
RMO 2019

RMO 2019

RMO 2019 Regional Mathematics Olympiad, India 2019… welcome to the festival of mathematics  Tool box for Regional Math Olympiad 2019 Geometry Tools for RMO Read More Number Theory Tools for RMO Read More Combinatorics Tools for RMO Read More Algebra Tools for...