Question

Equation of the image of the pair of lines $y=|x|$ by the line $x=1$ is

• A. $|y|+2=x$
• B. $|y|=x+2$
• C. $y=|x-2|$
• D. $y=|x-1|$

Answer 1

Answer: (C)

$y=|x-2|$

$y=|x|$
$\Rightarrow y=\{\begin{array}{c}x;x\ge 0\\ -x;x<0\end{array}$
From figure it can be seen that equation of image in line $x=1$ is $y=|x-2|$.