This problem was suggested by Gokul43201, based on this year's Putnam A2.(adsbygoogle = window.adsbygoogle || []).push({});

Suppose that [tex]K[/tex] is a convex set in [tex]\mathbb{R}^2[/tex] which is contained in the region bounded by the graphs of the hyperbolas [tex]xy=1, xy=-1[/tex] (so the set is in the inner + shaped region which contains the origin also). What is the maximum possible area of [tex]K[/tex]?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Maximal area of a convex region bounded by hyperbolas

**Physics Forums | Science Articles, Homework Help, Discussion**