A rod is placed along the line y = 2x with its centre at origin. The moment of inertia of the rod is maximum about

The given situation of rod is shown below. Suppose a mass particle situated at point  P(x, y)Hence, distance of mass particle from X-axis = x, distance of mass particle from Y-axis = y and distance of mass particlefrom Z-axis,  a=x2+y2Clearly,  a > x              a > ySince, moment of inertia, I ∝ (distance)2,Hence, moment of inertia of the rod is maximum about Z-axis.