Two circles are given in the plane, Ω and inside it ω. The center of ω is I. P is a point moving on Ω. The second intersection of the tangents from P to ω and circle Ω are Q and R. The second intersection of circle IQR and lines PI, PQ and PR are J, S and T, respectively. The reflection of point J across line ST is K.
Prove that lines PK are concurrent.
geometryTangentscirclesincenterconcurrentreflection