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A variable plane cuts the co-ordinate axes in A, B, C and is of constant distance p from the origin. Find the locus

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A variable plane cuts the co-ordinate axes in A, B, C and is of constant distance p from the origin. Find the locus of the centroid of the tetrahedron OABC.

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1 Answer

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Best answer

Let the equation of the plane be

It is given that,

OM = p

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