The slope of the tangent at `(x,y)` to a curve passing through `(2,1)` is `(x^(2)+y^(2))/(2xy)`, then the equation of the curve is

Options

A. `x(x^(2)+y^(2))=10`
B. `x(x^(2)-y^(2))=6`
C. `2(x^(2)-y^(2))=6y`
D. `2(x^(2)-y^(2))=3x`

Answer

D