Show that the equation of the line passing through the origin and making an angle with the line is

Question

Philoid · Accepted Answer

Let the equation of the line passing through the origin be y = m₁x.

If this line makes an angle of Ɵ with line y = mx + c, then angle Ɵ is given by

Thus,

Case I :

Case II :

Therefore, the required line is given by