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The locus of the centre of the circle wh...

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`

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