Difference between revisions of "2011 IMO Problems/Problem 6"

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Revision as of 17:24, 20 July 2011

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.