A plane passes through a fixed point (a, b, c). The locus of the foot of the perpendicular to it from the origin is the sphere

\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-2ax-2by-2cz=0\]

\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-ax-by-cz=0\]

\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-4ax-4by-4cz=0\]

A plane passes through a fixed point (a, b, c). The locus of the foot

1.	A plane passes through a fixed point (a, b, c). The locus of the foot of the perpendicular to it from the origin is the sphere
A.	\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-ax-by-cz=0\]
B.	\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-2ax-2by-2cz=0\]
C.	\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-4ax-4by-4cz=0\]
D.	None of these
Answer» B. \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-2ax-2by-2cz=0\]

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A plane passes through a fixed point (a, b, c). The locus of the foot of the perpendicular to it from the origin is the sphere

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