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HMMT Geometry 2019/3: Find X on AB with AX = 2PX

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February 17, 2019
HMMTgeometry

Problem Statement

Let ABAB be a line segment with length 2, and SS be the set of points PP on the plane such that there exists point XX on segment ABAB with AX=2PXAX = 2PX. Find the area of SS.
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