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P 4 number of good points 27th Indian NMO 2012

Source: INMO

February 5, 2012
ratiogeometryanalytic geometrygeometric transformationhomothetycalculusintegration

Problem Statement

Let ABCABC be a triangle. An interior point PP of ABCABC is said to be good if we can find exactly 2727 rays emanating from PP intersecting the sides of the triangle ABCABC such that the triangle is divided by these rays into 2727 smaller triangles of equal area. Determine the number of good points for a given triangle ABCABC.
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