A) 2
B) 5
C) 7
D) None of these
Correct Answer: B
Solution :
[b] We have, \[{{\tan }^{-1}}\frac{x}{\pi }<\frac{\pi }{3}\Rightarrow \tan \left( {{\tan }^{-1}}\frac{x}{\pi } \right)<\tan \frac{\pi }{3}\] \[\Rightarrow \frac{x}{\pi }<\sqrt{3}\Rightarrow x<\sqrt{3}\pi =5.5\] (approx.) \[\therefore \] the maximum value of x is 5.
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