Moment of inertia of a body about two perpendicular axes X and Y in the plane of lamina are `20" kg m"^2 and 25 "kg m"^2` respectively. Its moment of inertia about an axis perpendicular to the plane of the lamina and passing through the point of intersection of X and Y axes is

Options

A. `5kgm^(2)`
B. `45kgm^(2)`
C. `12-5kgm^(2)`
D. `500kgm^(2)`

Answer

B

Explanation

Perpendicular axis tehorem
`I_(z)=I_(x)+I_(y)=20+25=45kgm^(2)`