Question

Find the equations to the straight lines which pass through the origin and are inclined at an angle of 75° to the straight line x + y + √3(y – x) = a.

Answer 1

Given:

The equation passes through (0, 0) and make an angle of 75° with the line x + y + √3(y – x) = a.

We know that the equations of two lines passing through a point x₁,y₁ and making an angle α with the given line y = mx + c are

So, the equations of the required lines are