1.

If the line \[x+y=1\] is a tangent to a circle with centre (2, 3), then its equation is

A. \[{{x}^{2}}+{{y}^{2}}+2x+2y+5=0\]
B. \[{{x}^{2}}+{{y}^{2}}-4x-6y+5=0\]
C. \[{{x}^{2}}+{{y}^{2}}-x-y+3=0\]
D. \[{{x}^{2}}+{{y}^{2}}+5x+2y=0\]
Answer» C. \[{{x}^{2}}+{{y}^{2}}-x-y+3=0\]


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