Let the foci of the hyperbola $\frac{{\mathrm{x}}^2}{{\mathrm{A}}^2}-\frac{{\mathrm{y}}^2}{{\mathrm{B}}^2}=1$ be the vertices of the ellipse $\frac{{\mathrm{x}}^2}{{\mathrm{a}}^2}+\frac{{\mathrm{y}}^2}{{\mathrm{b}}^2}=1$ and the foci of the ellipse be the vertices of the hyperbola. Let the eccentricities of the ellipse and hyperbola be e_E and e_H, respectively. Then the match the following.

COLUMN - I	COLUMN - II
(A) $\frac{\mathrm{b}}{\mathrm{B}}$ is equal to	(p) 1
(B) ${\mathrm{e}}_{\mathrm{H}}+{\mathrm{e}}_{\mathrm{E}}$ is always greater than	(q) 2
(C) If angle between the asymptotes of hyperbola is $\frac{2\mathrm{\pi }}{3}$, then 4eE is equal to	(r) 3
(D) If ${\mathrm{e}}_{\mathrm{E}}^{ }=\frac{1}{2}$ and (x, y) is point of intersection of ellipse and the hyperbola then $\frac{{\mathrm{x}}^2}{{\mathrm{y}}^2}$ is	(s) 4