Tangents AB and AC are drawn from the point \[A(0,\,1)\]to the circle \[{{x}^{2}}+{{y}^{2}}-2x+4y+1=0\]. Equation of the circle through A, B and C is

\[{{x}^{2}}+{{y}^{2}}+x-y-2=0\]

\[{{x}^{2}}+{{y}^{2}}+x+y-2=0\]

\[{{x}^{2}}+{{y}^{2}}-x+y-2=0\]

Tangents AB and AC are drawn from the point \[A(0,\,1)\]to the circle

1.	Tangents AB and AC are drawn from the point \[A(0,\,1)\]to the circle \[{{x}^{2}}+{{y}^{2}}-2x+4y+1=0\]. Equation of the circle through A, B and C is
A.	\[{{x}^{2}}+{{y}^{2}}+x+y-2=0\]
B.	\[{{x}^{2}}+{{y}^{2}}-x+y-2=0\]
C.	\[{{x}^{2}}+{{y}^{2}}+x-y-2=0\]
D.	None of these
Answer» C. \[{{x}^{2}}+{{y}^{2}}+x-y-2=0\]

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Tangents AB and AC are drawn from the point \[A(0,\,1)\]to the circle \[{{x}^{2}}+{{y}^{2}}-2x+4y+1=0\]. Equation of the circle through A, B and C is

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