Find the equation of the straight line on which the length of the perpendicular from the origin is 2 and the perpendicular makes an angle α with x–axis such that .

Question

Philoid · Accepted Answer

Given: p = 2, sinα = 1/3

We know that, cos

⇒

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

⇒

⇒ 2√2x + y = 6

Hence, the equation of line in normal form is 2√2x + y = 6