Locus of the centre of the circle touching both the co-ordinates axes

1.	Locus of the centre of the circle touching both the co-ordinates axes is
A.	\[{{x}^{2}}+{{y}^{2}}=0\]
B.	\[{{x}^{2}}+{{y}^{2}}=\]a non-zero constant
C.	\[{{x}^{2}}-{{y}^{2}}=0\]
D.	\[{{x}^{2}}-{{y}^{2}}=\]a non-zero constant
Answer» D. \[{{x}^{2}}-{{y}^{2}}=\]a non-zero constant

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Locus of the centre of the circle touching both the co-ordinates axes is

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