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JEE Math Practice Question

A differential equation representing the family of parabolas with axis parallel to y-axis and whose length of latus rectum is the distance of the point (2, $$-$$3) from the line 3x + 4y = 5, is given by :

  1. A.$$10{{{d^2}y} \over {d{x^2}}} = 11$$
  2. B.$$11{{{d^2}x} \over {d{y^2}}} = 10$$
  3. C.$$10{{{d^2}x} \over {d{y^2}}} = 11$$
  4. D.$$11{{{d^2}y} \over {d{x^2}}} = 10$$

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