The equation of the circle which touches both axes and whose centre is

1.	The equation of the circle which touches both axes and whose centre is \[({{x}_{1}},\ {{y}_{1}})\] is [MP PET 1988]
A.	\[{{x}^{2}}+{{y}^{2}}+2{{x}_{1}}(x+y)+x_{1}^{2}=0\]
B.	\[{{x}^{2}}+{{y}^{2}}-2{{x}_{1}}(x+y)+x_{1}^{2}=0\]
C.	\[{{x}^{2}}+{{y}^{2}}=x_{1}^{2}+y_{1}^{2}\]
D.	\[{{x}^{2}}+{{y}^{2}}+2x{{x}_{1}}+2y{{y}_{1}}=0\]
Answer» C. \[{{x}^{2}}+{{y}^{2}}=x_{1}^{2}+y_{1}^{2}\]

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The equation of the circle which touches both axes and whose centre is \[({{x}_{1}},\ {{y}_{1}})\] is [MP PET 1988]

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