MathDB

Distance between circle's center and L

Source: IMO LongList 1982 - P25

September 10, 2010

geometrycirclestangencyeuclidean distanceIMO ShortlistIMO Longlist

Problem Statement

Four distinct circles

C,C_1, C_2

, C3 and a line L are given in the plane such that

C

and

L

are disjoint and each of the circles

C_1, C_2, C_3

touches the other two, as well as

C

and

L

. Assuming the radius of

C

to be

1

, determine the distance between its center and

L.