Let x2 = 4ky, k > 0, be a parabola with vertex A. Let BC be its latus rectum. An ellipse with center on BC touches the parabola at A, and cuts BC at points D and E such that BD = DE = EC (B, D, E, C in that order). The eccentricity of the ellipse is
(A) 1/√2
(B) 1/√3
(C) √5/3
(D) √3/2
