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A variable plane makes with the co-ordin...

A variable plane makes with the co-ordinates plane, tetrahedron of contant volume `64 k^3` Then the locus of the centroid of tetrahedron is the surface.

A

`x^3+y^3+z^3=6k^3`

B

`xyz=6k^3`

C

`x^2+y^2+z^2=4k^2`

D

`x^(-2)+y^(-2)+z^(-2)=4k^(-2)`

Text Solution

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The correct Answer is:
(d)
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