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If the slope of tangent at point (x, y) ...

If the slope of tangent at point `(x, y)` of curve `y = f(x)` is given by `(2y)/(x^(2))`. If this curve passes through the centre of the circle `x^(2) + y^(2) - 2x - 2y = 0`. Then the curve is :

A

`x log _(e) |y|=2(x-1)`

B

`x log _(e)|y =-2(x-1)`

C

`x^(2)log_(e)|y|=-2(x-1)`

D

`x log_(e)|y|=x-1`

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The correct Answer is:
A
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