Let k and k′ two concentric circles centered at O, with k′ being larger than k. A line through O intersects k at A and k′ at B such that O seperates A and B. Another line through O intersects k at E and k′ at F such that E separates O and F.
Show that the circumcircle of △OAE and the circles with diametres AB and EF have a common point. geometrycircumcirclepower of a pointradical axisgeometry proposed