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Given that the slope of the tangent to a...

Given that the slope of the tangent to a curve ` y = f(x) ` at any point ` (x, y )` is `(2y )/ ( x ^ 2 )`. If the curve passes through the centre of the circle ` x ^ 2 + y ^ 2 - 2 x - 2y = 0 ` , then its equation is :

A

`x log _e |y| =2 (x-1)`

B

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

C

` x bg _(e) |y| =x-1`

D

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

Text Solution

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The correct Answer is:
A
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