The locus of the foot of perpendicular drawn from the centre of the ellipse $x^2 + 3y^2 = 6$ on any tangent to it is

Question

( A ) $(x^2+y^2)^2 = 6x^2 + 2y^2$
( B ) $(x^2 + y^2)^2 = 6x^2 - 2y^2$
( C ) $(x^2-y^2)^2 = 6x^2 + 2y^2$
( D ) $(x^2-y^2)^2 = 6x^2 - 2y^2$