MathDB

4

Part of 1975 USAMO

Problems(1)

Maximizing AP*PB

Source: 1975 USAMO Problem 4

3/15/2010
Two given circles intersect in two points P P and Q Q. Show how to construct a segment AB AB passing through P P and terminating on the circles such that APā‹…PB AP \cdot PB is a maximum.