If the ellipse  $x^2+{\lambda }^2{y}^2={\lambda }^2{a}^2;{\lambda }^2>1$ is confocal with the hyperbola $x^2-y^2=a^2$ , then

ratio of eccentricities of ellipse and hyperbola is  $1:\sqrt{3}$

ratio of major axis of ellipse and transverse  axis of hyperbola is  $\sqrt{3}:1$

The ellipse and hyperbola cuts each other orthogonally 

ratio of length of latusrectum of  ellipse and hyperbola is 1:3