Question

The smallest positive root of the equation $\tan x-x=0$ lies in the interval

• A. $\left(0,\frac{\pi }{2}\right)$
• B. $\left(\frac{\pi }{2},\pi \right)$
• C. $\left(\pi ,\frac{3\pi }{2}\right)$
• D. $\left(\frac{3\pi }{2},2\pi \right)$

Answer 1

Answer: (C)

Here, $\tan x-x=0$
$\Rightarrow \tan x=x$

Clearly smallest positive root lies in the interval $\left(\pi ,\frac{3\pi }{2}\right)$