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 $x^{2}-y^{2}+2x+1=0$