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JEE Math Practice Question

If $$\lambda $$ $$ \in $$ R is such that the sum of the cubes of the roots of the equation, x2 + (2 $$-$$ $$\lambda $$) x + (10 $$-$$ $$\lambda $$) = 0 is minimum, then the magnitude of the difference of the roots of this equation is :

  1. A.$$4\sqrt 2 $$
  2. B.$$2\sqrt 5 $$
  3. C.$$2\sqrt 7 $$
  4. D.20

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