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Turkey Junior Olympiad 2009, Part II - P1

Source:

January 20, 2013

Problem Statement

Let the tangent line passing through a point AA outside the circle with center OO touches the circle at BB and CC. Let [BD][BD] be the diameter of the circle. Let the lines CDCD and ABAB meet at EE. If the lines ADAD and OEOE meet at FF, find ∣AF∣/∣FD∣|AF|/|FD|.
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