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JEE Main 2019 · 11 Jan · Shift II

JEE Main 2019 Mathematics question on Inverse Trigonometric Functions

All xx satisfying the inequality (cot⁡−1x)2−7(cot⁡−1x)+10>0(\cot^{-1} x)^2 - 7(\cot^{-1} x) + 10 > 0, lie in the interval
  1. A.
    (−∞,cot⁡5)∪(cot⁡2,∞)(-\infty, \cot 5) \cup (\cot 2, \infty)
  2. B.
    (cot⁡5,cot⁡4)(\cot 5, \cot 4)
  3. C.
    (cot⁡2,∞)(\cot 2, \infty)
  4. D.
    (−∞,cot⁡5)∪(cot⁡4,cot⁡2)(-\infty, \cot 5) \cup (\cot 4, \cot 2)
Show answer

Correct option: C

[JEE Main 2019 · 11 Jan · Shift II]

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