Difference between revisions of "2002 IMO Problems/Problem 2"
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==Problem== | ==Problem== | ||
| − | :<math>\text{BC is a diameter of a circle center O. A is any point on the circle with } \angle AOC \not\le 60</math> | + | :<math>\text{BC is a diameter of a circle center O. A is any point on the circle with } \angle AOC \not\le 60^\circ</math> |
:<math>\text{EF is the chord which is the perpendicular bisector of AO. D is the midpoint of the minor arc AB. The line through}</math> | :<math>\text{EF is the chord which is the perpendicular bisector of AO. D is the midpoint of the minor arc AB. The line through}</math> | ||
:<math>\text{O parallel to AD meets AC at J. Show that J is the incenter of triangle CEF.}</math> | :<math>\text{O parallel to AD meets AC at J. Show that J is the incenter of triangle CEF.}</math> | ||
