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The equation of the circle which touches...

The equation of the circle which touches both axes and whose centre is `(x_(1), y _(1))` is

A

`x^2+y^2+2x_1(x+y)+x_1^2=0`

B

`x^2+y^2-2x_1(x+y)+x_1^2=0`

C

`x^2+y^2=x_1^2+y_1^2`

D

`x^2+y^2+2x_1x+2yy_1=0`

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