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A circle touches the y-axis and the lin...

A circle touches the y-axis and the line x+y=0. then the locus of its centre is

A

`x^2-y^2=2xy`

B

`y^2-x^2=2xy`

C

`x=sqrt2 y`

D

`y=sqrt2 x`

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The correct Answer is:
A
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