Given triangle ABC and point P on the circumcircle of triangle ABC. Suppose the line CP intersects line AB at point E and line BP intersect line AC at point F. Suppose also the perpendicular bisector of AB intersects AC at point K and the perpendicular bisector of AC intersects AB at point J. Prove that (BFCE)2=AK⋅KFAJ⋅JE geometryperpendicular bisectorratio