A uniform rectangular plate has side length `l` and `2 l`. 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 `I_(0)`. Now the axis is shifted parallel to itself so that moment of inertia about it still remains `I_(0)`. Write the locus of point of intersection of the axis with `xy` plane

Answer

`x^(2) + y^(2) = (5l^(2))/(4)`