Q 2105291168.     A variable plane which remains at a constant distance `p`
from the origin cuts the coordinate axes in `A, B, C`. The
locus of the centroid of the tetrahedron `OABC` is

`y^2 z^2 + z^2x^2 +x^2y^2 = lx^2 y^2 z^2`, where `k` is equal to

A

`9 p^2`

B

`9/p^2`

C

`7/p^2`

D

`16/p^2`

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