The curve satifying the differeial equation, (x2 $-$ y2) dx + 2xydy = 0 and passing through the point (1, 1) is :

Question

The curve satifying the differeial equation, (x² $-$ y²) dx + 2xydy = 0 and passing through the point (1, 1) is :

a circle of radius one.

a hyperbola.

an ellipse.

a circle of radius two.

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