If \[(\alpha ,\beta )\]is the centre of a circle passing through the origin, then its equation is [MP PET 1999]

\[{{x}^{2}}+{{y}^{2}}+\alpha x+\beta y=0\]

\[{{x}^{2}}+{{y}^{2}}-\alpha x-\beta y=0\]

\[{{x}^{2}}+{{y}^{2}}+2\alpha x+2\beta y=0\]

\[{{x}^{2}}+{{y}^{2}}-2\alpha x-2\beta y=0\]

If \[(\alpha ,\beta )\]is the centre of a circle passing through the

1.	If \[(\alpha ,\beta )\]is the centre of a circle passing through the origin, then its equation is [MP PET 1999]
A.	\[{{x}^{2}}+{{y}^{2}}-\alpha x-\beta y=0\]
B.	\[{{x}^{2}}+{{y}^{2}}+2\alpha x+2\beta y=0\]
C.	\[{{x}^{2}}+{{y}^{2}}-2\alpha x-2\beta y=0\]
D.	\[{{x}^{2}}+{{y}^{2}}+\alpha x+\beta y=0\]
Answer» D. \[{{x}^{2}}+{{y}^{2}}+\alpha x+\beta y=0\]

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If \[(\alpha ,\beta )\]is the centre of a circle passing through the origin, then its equation is [MP PET 1999]

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