2011 IMO Problems/Problem 6
Revision as of 17:24, 20 July 2011 by Humzaiqbal (talk | contribs) (Created page with "Let ABC be an acute triangle with circumcircle Γ. Let l be a tangent line to Γ, and let la, lb and lc be the lines obtained by reflecting l in the lines BC, CA and AB, respecti...")
Let ABC be an acute triangle with circumcircle Γ. Let l be a tangent line to Γ, and let la, lb and lc be the lines obtained by reflecting l in the lines BC, CA and AB, respectively. Show that the circumcircle of the triangle determined by the lines la, lb and lc is tangent to the circle Γ.
