A uniform rectangular plate has side length l and 2l. The plate is in x−y plane with its centre at origin and sides parallel to x and y axes. The moment of inertia of the plate about an axis passing through a vertex (say A) perpendicular to the plane of the figure is I0. Now the axis is shifted parallel to itself so that moment of inertia about it still remains I0. Write the locus of point of intersection of the axis with xy plane

