Question

The number of solution of the equation $|sinx|=|x-1|$ in the interval $[0,\pi ]$

• A. $three$
• B. $one$
• C. $two$
• D. $noneofthese$

Answer 1

The correct option is A $three$

$|\sin x|=|x-1|[0,\pi ]$

$\text{We have to draw the graph of}\mid \sin x\mid \text{and}|x-1|\text{in}[0,\pi ]$

$\text{We can see that graph of}1x-11\text{cuts the graph}$

$\text{of}\mid sinx\mid \text{at two points. Therefore the}$

$\text{solutions of}|\sin x|=|x-1|\text{is}2\text{.}$