MathDB
Hong Kong easy part - Portuguese MO, Problem 5, 2009

Source:

August 29, 2010
geometry proposedgeometry

Problem Statement

Circumferences C1C_1 and C2C_2 have different radios and are externally tangent on point TT. Consider points AA on C1C_1 and BB on C2C_2, both different from TT, such that ∠BTA=90∘\angle BTA=90^{\circ}. What is the locus of the midpoints of line segments ABAB constructed that way?
Back to ProblemsView on AoPS