Under what condition does the equation \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+2uc+2uy+2wz+d=0\] represent a real sphere?

\[{{u}^{2}}+{{v}^{2}}+{{w}^{2}}<d\]

\[{{u}^{2}}+{{v}^{2}}+{{w}^{2}}={{d}^{2}}\]

\[{{u}^{2}}+{{v}^{2}}+{{w}^{2}}>d\]

\[{{u}^{2}}+{{v}^{2}}+{{w}^{2}}

Under what condition does the equation \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}

1.	Under what condition does the equation \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+2uc+2uy+2wz+d=0\] represent a real sphere?
A.	\[{{u}^{2}}+{{v}^{2}}+{{w}^{2}}={{d}^{2}}\]
B.	\[{{u}^{2}}+{{v}^{2}}+{{w}^{2}}>d\]
C.	\[{{u}^{2}}+{{v}^{2}}+{{w}^{2}}<d\]
D.	\[{{u}^{2}}+{{v}^{2}}+{{w}^{2}}<{{d}^{2}}\]
Answer» C. \[{{u}^{2}}+{{v}^{2}}+{{w}^{2}}<d\]

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Under what condition does the equation \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+2uc+2uy+2wz+d=0\] represent a real sphere?

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