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JEE Math Practice Question

Let slope of the tangent line to a curve at any point P(x, y) be given by $${{x{y^2} + y} \over x}$$. If the curve intersects the line x + 2y = 4 at x = $$-$$2, then the value of y, for which the point (3, y) lies on the curve, is :

  1. A.$$ - {{18} \over {19}}$$
  2. B.$$ - {{4} \over {3}}$$
  3. C.$${{18} \over {35}}$$
  4. D.$$ - {{18} \over {11}}$$

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