JEE Math Practice Question

The slope of tangent at any point (x, y) on a curve $$y=y(x)$$ is $${{{x^2} + {y^2}} \over {2xy}},x > 0$$. If $$y(2) = 0$$, then a value of $$y(8)$$ is :

1. A.$$ - 4\sqrt 2 $$
2. B.$$2\sqrt 3 $$
3. C.$$4\sqrt 3 $$
4. D.$$ - 2\sqrt 3 $$