Through a point P exterior to a given circle pass a secant and a tangent to the circle. The secant intersects the circle at A and B, and the tangent touches the circle at C on the same side of the diameter through P as the points A and B. The projection of the point C on the diameter is called Q. Prove that the line QC bisects the angle ∠AQB. projective geometrygeometry proposedgeometry