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JEE Main 2019
Inverse Trigonometric Functions
Inverse Trigonometric Functions
Easy

Question

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

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Solution

cot -1 x > 5, cot -1 x < 2 \Rightarrow x < cot5, x > cot2

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