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We are given two mutually tangent circles in the plane, with radii r_1, r_2. A line intersects these circles in four points, determining three segments of equal length. Find this length as a function of r_1 and r_2 and the condition for the solvability of the problem.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1584IMO Shortlist 1982 problem 80
1568IMO Shortlist 1981 problem 110
1502IMO Shortlist 1977 problem 40
1483IMO Shortlist 1975 problem 120
1447IMO Shortlist 1973 problem 50
1444IMO Shortlist 1973 problem 20