Thank you for reporting, we will resolve it shortly
Q.
Number of real root $s$ of equation $x^2$ tan $x=1$ between $-\frac{3 \pi}{2}$ and $\frac{3 \pi}{2}$ is
NTA AbhyasNTA Abhyas 2022
Solution:
We have,
$x^{2}\tan x=1$
$\Rightarrow x^{2}=\frac{1}{\tan x}$
$\Rightarrow x^{2}=\cot x$
Graph of $y=\cot x$ and $y=x^{2}$ is shown below.
Both graph intersects at $3$ points in $\left[- \frac{3 \pi }{2} , \frac{3 \pi }{2}\right]$ . Hence, no. of solutions are three.
