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JEE Math Practice Question

Two parabolas with a common vertex and with axes along x-axis and $$y$$-axis, respectively intersect each other in the first quadrant. If the length of the latus rectum of each parabola is $$3$$, then the equation of the common tangent to the two parabolas is :

  1. A.4(x + y) + 3 = 0
  2. B.3(x + y) + 4 = 0
  3. C.8(2x + y) + 3 = 0
  4. D.x + 2y + 3 = 0

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