Difference between revisions of "1999 IMO Problems/Problem 5"
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Revision as of 20:44, 6 October 2023
Problem
Two circles and
are contained inside the circle
, and are tangent to
at the distinct points
and
, respectively.
passes through the center of
. The line passing through the two points of intersection of
and
meets
at
and
. The lines
and
meet
at
and
, respectively.
Prove that is tangent to
.
Solution
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