All x satisfying the inequality (cot –1 x ) 2 – 7(cot –1 x ) + 10 > 0, lie in the interval

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

All x satisfying the inequality
(cot–1x)2 – 7(cot–1x) + 10 > 0, lie in the interval
  1. (–∞, cot5) ∪ (cot4, cot2)
  2. (cot5, cot4)
  3. (–∞, cot5) ∪ (cot2, ∞)
  4. (cot2, ∞)

Answer

(C) (– ∞ , cot5) ∪ (cot2, ∞ )

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