2000 OIM Problems/Problem 2
Problem
Let and be two circles, with centers and respectively, secants in and . The line is the common tangent to and , closest to . Points and are the respective contact points of with and , the point diametrically opposite to and the point of intersection of the line with the line perpendicular to the line drawn by . Show that , , and are aligned.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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