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The equation of the circle touching the ...

The equation of the circle touching the lines `|y | =x ` at a distance `sqrt ( 2)` untis from the origin is `:`

A

`x ^(2) + y ^(2) +4x=0`

B

`x^(2)+y^(2)-4x+2=0`

C

`x^(2) + y^(2) - 4x + 4=0`

D

none of these

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The correct Answer is:
B
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