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JEE Math Practice Question

Let $$f(x) = 2{\cos ^{ - 1}}x + 4{\cot ^{ - 1}}x - 3{x^2} - 2x + 10$$, $$x \in [ - 1,1]$$. If [a, b] is the range of the function f, then 4a $$-$$ b is equal to :

  1. A.11
  2. B.11 $$-$$ $$\pi$$
  3. C.11 + $$\pi$$
  4. D.15 $$-$$ $$\pi$$

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