The figure shows a uniform rod lying along the `x`-axis. The locus of all the points lying on the `xy`-plane, about which the moment of inearth, of the rod is same as that about `O`, is

Options

A. an ellipse
B. a circle
C. a parabola
D. a straight line

Answer

B

Explanation

`I_(P)=I_(CM)+Mr^(2)`
`=(ML^(2))/12+M[(x-L/2)^(2)+y^(2)]`
`I_(0)=(ML^(2))/3`