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TOT 300 1991 Autumn O J1 AB= BC wanted, 2 circles

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June 9, 2024
geometryequal segmentsisosceles

Problem Statement

The centre of circle 11 lies on circle 22. AA and BB are the intersection points of the circles. The tangent line to circle 22 at point BB intersects circle 11 at point CC. Prove that AB=BCAB = BC.
(V. Prasovov, Moscow)
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