The curve amongst the family of curves represented by the differential equation, (x2 – y2)dx + 2xy dy = 0 which passes through (1, 1) is :

Question

The curve amongst the family of curves represented by the differential equation, (x² – y²)dx + 2xy dy = 0 which passes through (1, 1) is :

a circle with centre on the y-axis

an ellipse with major axis along the y-axis

a circle with centre on the x-axis

a hyperbola with transverse axis along the x-axis

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