Problem 301: Tangents to a circle, Secants, Major Arc.
Level: High School, College, SAT Prep. In the figure, AB and AC are tangent to circle O at B and C,
respectively, and D is a point on the major arc BC. Lines BD and AC meet
at E, and lines DC and BA meet at F. If
BF = a, CE = b, and EF = x, prove that
.

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