If a curve passes through the point (1, -2) and has slope of the tangent at any point (x…

Mathematics · JEE Main · NTA ExamsDifferential Equations

If a curve passes through the point (1, -2) and has slope of the tangent at any point (x, y) on it as \(\frac{x^{2}-2 y}{x}\), then the curve also passes through the point:
  1. (-1, 2)
  2. \((-\sqrt{2}, 1)\)
  3. \((\sqrt{3}, 0)\)
  4. (3, 0)

Answer

(D) (3, 0)

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