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min and max of perpendicular chords of circle passing through P

Source: Italy TST 1994 p1

February 17, 2020
minmaxgeometryperpendicularChordscircle

Problem Statement

Given a circle γ\gamma and a point PP inside it, find the maximum and minimum value of the sum of the lengths of two perpendicular chords of γ\gamma passing through PP.
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