Ellipse

An ellipse sliding along coordinate axes.If the foci of ellipse are (1,1) and (3,3) .Then which of the following is/are correct? Radius of director circle of ellipse is 2sqrt(2) Length of major axis of ellipse is 2sqrt(5) Length of minor axis of ellipse is sqrt(3) Length of major axis of ellipse is

An ellipse intersects the hyperbola 2 x^(2)-2 y^(2)=1 orthogonally. The eccentricity of the ellipse is reciprocal of that of the hyperbola. If the axes of the ellipse are along the coordinate axes, then equation of ellipse is