A circle touches the bisector of the first and third quadrant at th...

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A circle touches the bisector of the first and third quadrant at the origin and passes through the point \( (2,0) \). The equation of the circle is
\( \mathrm{P} \)
(A) \( x^{2}+y^{2}-2 x-2 y=0 \)
(B) \( x^{2}+y^{2}-2 x+2 y=0 \)
(C) \( x^{2}+y^{2}+2 x+2 y=0 \)
(D) none of these
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