IMO Shortlist 1982 problem 12

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Dodao/la: arhiva
April 2, 2012
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.
Source: Međunarodna matematička olimpijada, shortlist 1982