Moment of inertia of a body about two perpendicular axes $X$ and $Y$ in the plane of the lamina are $20 \text{ kg m}^2$ and $25 \text{ kg m}^2$ 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:

  • A
    $5 \text{ kg m}^2$
  • B
    $45 \text{ kg m}^2$
  • C
    $12.5 \text{ kg m}^2$
  • D
    $500 \text{ kg m}^2$

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