Search any question & find its solution
Question:
Answered & Verified by Expert
The smallest positive root of the equation $\tan x-x=0$ lies in
Options:
Solution:
2642 Upvotes
Verified Answer
The correct answer is:
$\left(\pi, \frac{3 \pi}{2}\right)$
Given equation is
$\tan x-x=0$
$\tan x=x$
Solutions are abscissae of points of intersection of the curves $y=\tan x$ and $y=x$. From the figure, it is clearty visible that solution lies in $\left(\pi, \frac{3 \pi}{2}\right)$

$\tan x-x=0$
$\tan x=x$
Solutions are abscissae of points of intersection of the curves $y=\tan x$ and $y=x$. From the figure, it is clearty visible that solution lies in $\left(\pi, \frac{3 \pi}{2}\right)$

Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.