Question

$2\tan x=x$ has exactly 7 solutions in $(0,n\pi )$, if the value of $n$ is

• A. 8
• B. 7
• C. 9
• D. 10

Answer 1

The correct option is A 8

$2tanx=x$ is true for,

$x=0,\pi ,2\pi ,3\pi ........$

As $0$ and $n\pi$ are not included as per the given condition

So for $7$ Solutions

$x=\pi ,2\pi ,3\pi ,4\pi .....8\pi$

Hence value of $n=8$