A variable plane forms a tetrahedron of constant volume `64k^3` with the coordinate planes and the origin, then locus of the centroid of the tetrahedron is

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:

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:

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:

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:

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:

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:

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:

If a variable plane forms a tetrahedron of constant volume 64k^(3) with the co-ordinate planes find the locus of the centroid of the tetrahedron.

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 x^(2)y^(2)+y^(2)z^(2)+z^(2)x^(2)=(k)/(p^(2))x^(2)y^(2)z^(2), then root(5)(2k) is

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 x^(2)y^(2)+y^(2)z^(2)+z^(2)x^(2)=(k)/(p^(2))x^(2)y^(2)z^(2), then root(5)(2k) is