Difference between revisions of "2000 OIM Problems/Problem 2"
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Latest revision as of 16:14, 13 December 2023
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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