1.

The equation of the circle which passes through (1, 0) and (0, 1) and has its radius as small as possible, is

A.            \[{{x}^{2}}+{{y}^{2}}-2x-2y+1=0\]
B.            \[{{x}^{2}}+{{y}^{2}}-x-y=0\]
C.            \[2{{x}^{2}}+2{{y}^{2}}-3x-3y+1=0\]
D.            \[{{x}^{2}}+{{y}^{2}}-3x-3y+2=0\]
Answer» C.            \[2{{x}^{2}}+2{{y}^{2}}-3x-3y+1=0\]


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