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Joint Entrance Examination
Mathematics
Inverse Trigonometric Functions
Question 117
Question 117 of 155
Medium
MCQ
All x satisfying the inequality (cot--1 x)2-- 7(cot--1 x) + 10 > 0, lie in the interval :
A
(cot 2, \[\infty \])
B
(--\[\infty \], cot 5) \[ \cup \] (cot 2, \[\infty \])
C
(cot 5, cot 4)
D
(-- \[\infty \], cot 5) \[ \cup \] (cot 4, cot 2)
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Official solution
cot-1 x > 5, cot-1 x < 2 \[ \Rightarrow \] x < cot5, x > cot2
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