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

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Q 1237612582.     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

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

C

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

D

`x^(-1) y^(-1) z^(-1) = 6k^3`

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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