The ellipse $x^2+4y^2 = 4$ is inscribed in a rectangle aligned with the coordinate axes, which in turn in inscribed in another ellipse that passes through the point (4, 0). Then the equation of the ellipse is

Question

( A ) $x^2 + 12y^2 = 16$
( B ) $x^2+16y^2 =16$
( C ) $4x^2+48y^2 = 48$
( D ) $4x^2 + 64y^2 = 48$