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If a variable plane forms a tetrahedron of constant volume `64k^3` with the co-ordinate planes, then the locus of the centroid of the tetrahedron is:

A

`xyz=6k^(3)`

B

`xy+yz+zx=6k^(2)`

C

`x^(2)+y^(2)+z^(2)=8k^(2)`

D

None of these

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The correct Answer is:
A
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