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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