MathDB
Putnam 1953 B6

Source: Putnam 1953

July 16, 2022
PutnamLocuscircleminima

Problem Statement

Let PP and QQ be any points inside a circle CC with center OO such that OP=OQ.OP=OQ. Determine the location of a point ZZ on CC such that PZ+QZPZ+QZ is minimal.