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JEE Math Practice Question

If Rolle's theorem holds for the function $$f(x) = {x^3} - a{x^2} + bx - 4$$, $$x \in [1,2]$$ with $$f'\left( {{4 \over 3}} \right) = 0$$, then ordered pair (a, b) is equal to :

  1. A.($$-$$5, $$-$$8)
  2. B.(5, $$-$$8)
  3. C.($$-$$5, 8)
  4. D.(5, 8)

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