MathDB

2

Part of 2003 Flanders Math Olympiad

Problems(1)

Tangents to intersecting circles...

Source: Flanders MO, 2003

8/9/2004
Two circles C1C_1 and C2C_2 intersect at SS. The tangent in SS to C1C_1 intersects C2C_2 in AA different from SS. The tangent in SS to C2C_2 intersects C1C_1 in BB different from SS. Another circle C3C_3 goes through A,B,SA, B, S. The tangent in SS to C3C_3 intersects C1C_1 in PP different from SS and C2C_2 in QQ different from SS. Prove that the distance PSPS is equal to the distance QSQS.
geometry proposedgeometry