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The circles O and Q intersect at A and B (see the figure) and CAD is a secant line. The tangents at C and D meet at E. CO ad DQ extended meet at F. Prove that (1) Points O, F, B, and Q are concyclic; (2) FB is perpendicular to EB.

Home | Search | Geometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery | Art | 991-1000 | Circle | Intersecting Circles | Circle Tangent Line | Cyclic Quadrilateral | Concyclic Points | Perpendicular lines | Email | Solution / comment | By Antonio Gutierrez