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JEE Math Practice Question

Given that the slope of the tangent to a curve y = y(x) at any point (x, y) is $$2y \over x^2$$. If the curve passes through the centre of the circle x2 + y2 – 2x – 2y = 0, then its equation is :

  1. A.x loge|y| = 2(x – 1)
  2. B.x2 loge|y| = –2(x – 1)
  3. C.x loge|y| = x – 1
  4. D.x loge|y| = –2(x – 1)

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