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

Question:

All $x$ satisfying the inequality $\left(\cot ^{-1} x\right)^{2}-7\left(\cot ^{-1} x\right)+10>$ 0 , lie in the interval :

1. $(-\infty, \cot 5) \cup(\cot 4, \cot 2)$

2. $(\cot 2, \infty)$

3. $(-\infty, \cot 5) \cup(\cot 2, \infty)$

4. $(\cot 5, \cot 4)$

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year Jan. 11, 2019 (II)

Solution:

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