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JEE Math Practice Question

Let a line L : 2x + y = k, k > 0 be a tangent to the hyperbola x2 $$-$$ y2 = 3. If L is also a tangent to the parabola y2 = $$\alpha$$x, then $$\alpha$$ is equal to :

  1. A.12
  2. B.$$-$$12
  3. C.24
  4. D.$$-$$24

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