A geometry problem by vishnu c

Geometry Level 4

A curve \(C\) has the property that the slope of the tangent at any given point \((x,y)\) on \(C\) is \(\dfrac { x^{ 2 }+y^{ 2 } }{ 2xy }\). If the curve passes through \((2015, 2014)\), then determine the eccentricity of the conic.

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