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- October 26th 2010, 03:01 AM #1

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## IMO Problem II

This problem comes from this year's International Mathematical Olympiad , comparing with another geometry problem on the next day (problem 4) , this seems a little harder . Enjoy !

Let be the incentre of triangle and let be its circumcircle. Let the line intersect again at . Let be a point on the arc and a point on the side such that

.

Finally , let be the midpoint of the segment . Prove that the lines and intersects on .

- January 2nd 2011, 05:19 AM #2

- January 2nd 2011, 05:32 AM #3

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- January 2nd 2011, 06:30 AM #4

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