MathDB

1

Part of 1994 Italy TST

Problems(1)

min and max of perpendicular chords of circle passing through P

Source: Italy TST 1994 p1

2/17/2020
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.
minmaxgeometryperpendicularChordscircle