The line ℓ parallel to the side BC of the triangle ABC, intersects its sides AB,AC at the points D,E, respectively. The circumscribed circle of triangle ABC intersects line ℓ at points F and G, such that points F,D,E,G lie on line ℓ in this order. The circumscribed circles of the triangles FEB and DGC intersect at points P and Q. Prove that points A,P and Q are collinear. geometrycircumcircleparallelKharkivcollinear