# 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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