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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.

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If a variable plane forms a tetrahedron of constant volume 64k3 with the co-ordinate planes, find the locus of the centroid of the tetrahedron.

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1 Answer

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Let the equation of the plane be 

It is given that, the volume of the tetrahedron 

OABC = 64k3

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