Putnam 2007 A2
Source:
December 3, 2007
Putnamgeometryconicshyperbolaanalytic geometryinequalitiesrectangle
Problem Statement
Find the least possible area of a convex set in the plane that intersects both branches of the hyperbola xy\equal{}1 and both branches of the hyperbola xy\equal{}\minus{}1. (A set in the plane is called convex if for any two points in the line segment connecting them is contained in )