The locus of a point, such that the sum of the squares of its distances from the planes \[x+y+z=0,\]\[x-z=0\] And \[x-2y+z=0\]is 9, is

\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=12\]

\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=3\]

\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=6\]

\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=9\]

The locus of a point, such that the sum of the squares of its distance

1.	The locus of a point, such that the sum of the squares of its distances from the planes \[x+y+z=0,\]\[x-z=0\] And \[x-2y+z=0\]is 9, is
A.	\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=3\]
B.	\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=6\]
C.	\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=9\]
D.	\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=12\]
Answer» D. \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=12\]

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The locus of a point, such that the sum of the squares of its distances from the planes \[x+y+z=0,\]\[x-z=0\] And \[x-2y+z=0\]is 9, is

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