The boundary of a thin plate is an ellipse with semiaxes a and b.
Let L denote a line in the plane of the plate passing through the center of the ellipse and making an angle k with the axis of length 2a
If the density is constant and if the mass of the plate is m,
find out the moment of inertia about line L.
I tried to find out the perpendicular distance from point in L to point in boundary since moment of inertia is double integrate the product of square of distance from L to Boundary and density.
What is the equation for perpendicular distance for this ?