MathDB

2

Part of 2019 Swedish Mathematical Competition

Problems(1)

concyclic wanted, diameter of a circle, tangent related

Source: 2019 (-20) Swedish Mathematical Competition p2

8/30/2020
Segment ABAB is the diameter of a circle. Points CC and DD lie on the circle. The rays ACAC and ADAD intersect the tangent to the circle at point BB at points PP and QQ, respectively. Show that points C,D,PC, D, P and QQ lie on a circle.
geometryConcyclicdiametertangent