The inscribed circle Ω of triangle ABC touches the sides AB and AC at points K and L, respectively. The line BL intersects the circle Ω for the second time at the point M. The circle ω passes through the point M and is tangent to the lines AB and BC at the points P and Q, respectively. Let N be the second intersection point of circles ω and Ω, which is different from M. Prove that if KM∥AC then the points P,N and L lie on one line. geometrycollinearincircle