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locus of P, ABCD square such that max { PA, PC\}=1/2(PB+PD)

Source: Mathcenter Contest / Oly - Thai Forum 2009 R1 p2 https://artofproblemsolving.com/community/c3196914_mathcenter_contest

November 9, 2022
geometryLocussq

Problem Statement

Find the locus of points PP in the plane of a square ABCDABCD such that max⁡{PA, PC}=12(PB+PD).\max\{ PA,\ PC\}=\frac12(PB+PD).
(Anonymous314)
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