2010-2011 Mock USAJMO Problems/Solutions/Problem 1
Problem
Given two fixed, distinct points 
and 
on plane 
, find the locus of all points 
belonging to such that the quadrilateral formed by point , the midpoint of 
, the centroid of 
, and the midpoint of 
(in that order) can be inscribed in a circle.
Solution
coordinate bash with the origin as the midpoint of BC using Power of a Point.
