Mathematics - Straight Lines Question with Solution | TestHub

The joined equation of straight line $y=x-1$ and $y=-x+1$ is

$\begin{array}{rl}& (x-y-1)(x+y-1)=0\\ \Rightarrow & x^2-y^2-2x+1=0\\ & \end{array}$

Let equation of line passes through $(2,0)$ is

$y=m(x-2)$

By homogenizing equation (1) with help of line (2) is

$x^2-y^2-2x\left(\frac{mx-y}{2m}\right)+{\left(\frac{mx-y}{2m}\right)}^2=0$

∵ coefficient of $x^2+$ coefficient of $y^2=0$

$\Rightarrow m=\pm \frac{1}{\sqrt{3}}$