The slope of the tangent at (x, y) to a curve passing through a point (2, 1) is \[\frac{{{x}^{2}}+{{y}^{2}}}{2xy}\], then the equation of the curve is [MP PET 2002]

The slope of the tangent at (x, y) to a curve passing through a point

1.	The slope of the tangent at (x, y) to a curve passing through a point (2, 1) is \[\frac{{{x}^{2}}+{{y}^{2}}}{2xy}\], then the equation of the curve is [MP PET 2002]
A.	\[2({{x}^{2}}-{{y}^{2}})=3x\]
B.	\[2({{x}^{2}}-{{y}^{2}})=6y\]
C.	\[x({{x}^{2}}-{{y}^{2}})=6\]
D.	\[x({{x}^{2}}+{{y}^{2}})=10\]
Answer» B. \[2({{x}^{2}}-{{y}^{2}})=6y\]

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The slope of the tangent at (x, y) to a curve passing through a point (2, 1) is \[\frac{{{x}^{2}}+{{y}^{2}}}{2xy}\], then the equation of the curve is [MP PET 2002]

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