Verified Solution • 2025–26 Session moderate

QJEEM19Ma3af0: JEE Main 2019 Mathematics - Class 12 JEEM19Ma3af0 Solution: All x satisfying the inequality (cot –1 x) 2 – 7(cot –1 x) + 10 …

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

Multiple Choice Options

  • A (cot 2, ∞)
  • B (–∞, cot 5) ∪ (cot 2, ∞)
  • C (cot 5, cot 4)
  • D (– ∞, cot 5) ∪ (cot 4, cot 2)

Step-by-Step Verified Solution

cot−1 x > 5,    cot−1 x < 2

⇒  x < cot5,   x > cot2

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