The slope of the tangent at \( (x, y) \) to a curve passing through a point \( (2,1) \) is \( \f...

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The slope of the tangent at \( (x, y) \) to a curve passing through a point \( (2,1) \) is \( \frac{x^{2}+y^{2}}{2 x y} \) then the equation of the curve is
(a) \( 2\left(x^{2}-y^{2}\right)=3 x \)
(b) \( 2\left(x^{2}-y^{2}\right)=6 x \)
(c) \( x\left(x^{2}-y^{2}\right)=6 \)
(d) \( x\left(x^{2}+y^{2}\right)=10 \)
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