2002 IMO Problems/Problem 2

Problem

$BC$ is a diameter of a circle center $O$ . $A$ is any point on the circle with $\angle AOC \not\le 60^\circ$ . $EF$ is the chord which is the perpendicular bisector of $AO$ . $D$ is the midpoint of the minor arc $AB$ . The line through $O$ parallel to $AD$ meets $AC$ at $J$ . Show that $J$ is the incenter of triangle $CEF$ .

Solution

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2002 IMO (Problems) • Resources
Preceded by Problem 1	1 • 2 • 3 • 4 • 5 • 6	Followed by Problem 3
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2002 IMO Problems/Problem 2

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