Geometry

[Arnav]

<p>Consider a triangle P1P2P3 and a point P within the triangle. Lines P1P, P2P, P3P intersect the opposite sides in points Q1,Q2,Q3 respectively. Prove that out of the numbers P1P/PQ1 , P2P/PQ2, P3P/PQ3, at least one is <=2 and at least one is =>2</p>

[Saumik Karfa]

Problem is already discussed here : https://artofproblemsolving.com/wiki/index.php/1961_IMO_Problems/Problem_4

[Author]

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