A variable plane which remains at a constant distance 3p from the origin cut the coordinate axes at A, B and C. The locus of the centroid of triangle ABC is

\[{{x}^{-1}}+{{y}^{-1}}+{{z}^{-1}}={{p}^{-1}}\]

\[{{x}^{-2}}+{{y}^{-2}}+{{z}^{-2}}={{p}^{-2}}\]

\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}={{p}^{2}}\]

A variable plane which remains at a constant distance 3p from the orig

1.	A variable plane which remains at a constant distance 3p from the origin cut the coordinate axes at A, B and C. The locus of the centroid of triangle ABC is
A.	\[{{x}^{-1}}+{{y}^{-1}}+{{z}^{-1}}={{p}^{-1}}\]
B.	\[{{x}^{-2}}+{{y}^{-2}}+{{z}^{-2}}={{p}^{-2}}\]
C.	\[x+y+z=p\]
D.	\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}={{p}^{2}}\]
Answer» C. \[x+y+z=p\]

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A variable plane which remains at a constant distance 3p from the origin cut the coordinate axes at A, B and C. The locus of the centroid of triangle ABC is

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