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min max distance 2 circles 1988 Greece MO Grade X p3

Source:

September 7, 2024
geometrygeometric inequalitycircles

Problem Statement

Two circles (O1,R1)(O_1,R_1),(O2,R2)(O_2,R_2) lie each external to the other. Find : a) the minimum length of the segment connecting points of the circles b) the max length of the segment connecting points of the circles
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