Find the equation of the straight line at a distance of 3 units from the origin such that the perpendicular from the origin to the line makes an angle α given by with the positive direction of x–axis.

Question

Philoid · Accepted Answer

Given: p = 3,

⇒ and

Concept Used:

The equation of a line in normal form.

Explanation:

So, the equation of the line in normal form is

Formula Used: x cos α + y sin α = p

⇒

⇒ 12x + 5y = 39

Hence, the equation of line in normal form is 12x + 5y = 39