Question

The equation of image of pair of lines $y=\left|x-1\right|$ in $y$ -axis is :

• A. $x^2+y^2+2x+1=0$
• B. $x^2-y^2+2x-1=0$
• C. $x^2-y^2+2x+1=0$
• D. none of these

Answer 1

Answer: (C)

$\because$ $y=\left|x-1\right|$
$\Rightarrow y^2={\left(x-1\right)}^2$
Change $x$ by $-x$ , then required image is $y^2={\left(-x-1\right)}^2$
$\Rightarrow y^2=x^2+1+2x$
or $x^2-y^2+2x+1=0$