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IR-TST 2007 Problem 4

  • Day 2

In an isosceles right-angled triangle shaped billiards table , a ball starts moving from one of the vertices adjacent to hypotenuse. When it reaches to one side then it will reflect its path. Prove that if we reach to a vertex then it is not the vertex at initial position By Sam Nariman

Dataset text AI-MO AoPS. Quoted with source.

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