A) \[(-\infty ,\cot 3]\]
B) \[[\cot 3,\cot 2)\]
C) \[[\cot 3,\infty )\]
D) None of these
Correct Answer: A
Solution :
[a] \[{{[co{{t}^{-1}}x]}^{2}}-6[co{{t}^{-1}}x]+9\le 0\] \[\Rightarrow {{([co{{t}^{-1}}x]-3)}^{2}}\le 0\Rightarrow [co{{t}^{-1}}x]=3\] \[\Rightarrow 3\le {{\cot }^{-1}}x<4\Rightarrow x\in (-\infty ,\cot 3]\]
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