Two circles γ1,γ2 are given, with centers at points O1,O2 respectively. Select a point K on circle γ2 and construct two circles, one γ3 that touches circle γ2 at point K and circle γ1 at a point A, and the other γ4 that touches circle γ2 at point K and circle γ1 at a point B. Prove that, regardless of the choice of point K on circle γ2, all lines AB pass through a fixed point of the plane. geometryFixed pointcirclestangent circlesfixed