Question

In the picture, points P, Q, R are marked on the sides BC, CA, AB of AABC and the circumcircles of ΔAQR and ΔBRP are drawn. M is a point where these circles intersect.

Prove that the circumcircle of ΔCPQ also passes through M.

Answer 1

Let M be a common point which three circles can passed.

Therefore the circumcircle of ACPQ also passes through M