Let BB1 and CC1 be the altitudes of an acute-angled triangle ABC, which intersect its angle bisector AL at two different points P and Q, respectively. Denote by F such a point that PF∥AB and QF∥AC, and by T the intersection point of the tangents drawn at points B and C to the circumscribed circle of the triangle ABC. Prove that the points A,F and T lie on the same line. geometrycollinearUkrainian TYM