Question

Find the equation of the line perpendicular distance from
the origin is 5 units and the angle made by the perpendicular with the positive x-axis is 30°.​

Answer 1

Answer:

√ 3 x + y - 10 = 0 .

Step-by-step explanation:

Given :

Perpendicular distance from origin i.e. P = 5 units.

Angle made by perpendicular = 30

So, angle made by line with anti-clock wise = 120  [ Exterior angle property ]

We have general equation of line :

x cos ω + y sin ω = P

x cos 120 + y sin 120 = P

x cos 30 + y sin 30 = 5

√ 3 / 2 x + 1 / 2 y = 5

√ 3 x + y - 10 = 0 .

Hence we get equation of line .