1999 OIM Problems/Problem 2
Problem
Given two circles 
and 
, we say that bisects if the common chord is a diameter of .
Consider two fixed non-concentric circles 
and 
.
a) Prove that there are infinitely many circles 
such that bisects and bisects .
b) Find the locus of the centers of circles .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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