An ellipse is drawn by taking a diameter of the circle $(x-1)^2 + y^2 = 1$ as its semiminor axis and a diameter of the circle $x^2+(y-2)^2 = 4$ as its semi-major axis. If the centre of the ellipse is the origin and its axes are the coordinate axes, then the equation of the ellipseis

Question

( A ) $x^2 + 4y^2 = 16$
( B ) $x^2+4y^2=8$
( C ) $4x^2+y^2=4$
( D ) $4x^2+y^2 = 8$