Find the equation of the line on which the length of the perpendicular segment from the origin to the line is `4` and the inclination of the perpendicular segment with the positive direction of x-axis is `30^0dot`

Explanation

Given` p=4 and ω=30^0.`

We know the normal form of the equation of the line is` x cos ω+y sin ω=p`

So, the equation of line is


`x cos 30^0`+`y sin 30^0=4`


`x(sqrt(3)/2)+y(1/2)=4 or sqrt(3) x+y=8`