Question

Find the equation of the straight line which cuts off intercepts on x-axis twice that on $y-sxis$ and is at a unit distance from the origin.

Answer 1

Let the intercept on y axis be a

Then intercept on x axis = 2a

equation of line is

$x+2y=2a$

$1=\frac{2a}{\sqrt{3}}$

$a=\frac{\sqrt{3}}{2}$

So, equation of line is

$x+2y=\sqrt{3}.$