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JEE Math Practice Question

If m is chosen in the quadratic equation (m2 + 1) x2 – 3x + (m2 + 1)2 = 0 such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is :-

  1. A.$$4\sqrt 3 $$
  2. B.$$8\sqrt 3 $$
  3. C.$$8\sqrt 5 $$
  4. D.$$10\sqrt 5 $$

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