2016 OIM Problems/Problem 5
Problem
The circles and intersect at two different points and . The tangent common to and closest to touches at and at . Let be the foot of the perpendicular from on , and the foot of the perpendicular from on . If and are the symmetrical points of with respect to the lines and , prove that the points and are collinear.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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