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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