This one`s from Junior Balkan Math Olympiad.It`s quite easy to find solution.

Given a (acute angled)trianle ABC and the tangent at A to the circumcircle intersects BC at P.

M is the midpoint of AP. BM intersects the circumcircle again at R and PR intersects the circumcircle again at S prove that AP || CS.

## Tuesday, January 8, 2008

### JBMO geometry problem

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