Question

Find the equation of the straight line which cuts off equal intercepts on $y$ - axis and $x$- axis at a unit distance from the origin

Answer 1

Let u -intercept , y - intercept be 'a'

$\therefore$ line eqution will be $\frac{x}{a}+\frac{y}{a}=!$

x + y = a

Given line is at distance of from origin

$\frac{10+0+0!}{\sqrt{2}}=1$ $\Rightarrow a=\pm \sqrt{2}$

line is $x+y=\pm \sqrt{2}$