MathDB
Locus of the centre of Gamma

Source: ISI 2012 #7

May 13, 2012
conicsellipsegeometry proposedgeometry

Problem Statement

Let Γ1,Γ2\Gamma_1,\Gamma_2 be two circles centred at the points (a,0),(b,0);0<a<b(a,0),(b,0);0<a<b and having radii a,ba,b respectively.Let Γ\Gamma be the circle touching Γ1\Gamma_1 externally and Γ2\Gamma_2 internally. Find the locus of the centre of of Γ\Gamma
Back to ProblemsView on AoPS