The locus of the centre of the circle which cuts off intercepts of length \[2a\] and \[2b\] from x-axis and y-axis respectively, is

\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}-{{b}^{2}}\]

\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}+{{b}^{2}}\]

\[{{x}^{2}}-{{y}^{2}}={{a}^{2}}-{{b}^{2}}\]

The locus of the centre of the circle which cuts off intercepts of len

1.	The locus of the centre of the circle which cuts off intercepts of length \[2a\] and \[2b\] from x-axis and y-axis respectively, is
A.	\[x+y=a+b\]
B.	\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}+{{b}^{2}}\]
C.	\[{{x}^{2}}-{{y}^{2}}={{a}^{2}}-{{b}^{2}}\]
D.	\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}-{{b}^{2}}\]
Answer» D. \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}-{{b}^{2}}\]

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The locus of the centre of the circle which cuts off intercepts of length \[2a\] and \[2b\] from x-axis and y-axis respectively, is

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