Difference between revisions of "1990 IMO Problems/Problem 1"

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Revision as of 05:39, 5 July 2016

1. Chords AB and CD of a circle intersect at a point E inside the circle. Let M be an interior point of the segment EB. The tangent line at E to the circle through D, E, and M intersects the lines BC and AC at F and G, respectively. If $\frac{AM}{AB} = t$, find $\frac{EG}{EF} in terms of t.