The curve represented by the differentia...

The curve represented by the differential equation `(x^2+y^2+1)dx-2xydy=0` satisfying `y(1)=1` is (A) `x^2-y^2+x-1=0` (B) `(x-1)^2+(y-2)^2=1` (C) a hyperbola (D) a circle

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