Find the equations to the straight lines which pass through the point (h, k) and are inclined at angle tan -1 m to the straight line y = mx + c.

Question

Philoid · Accepted Answer

Given: equation passes through (h, k) and make an angle of tan^-1 m with the line y = mx + c

To find: equation of given line

Explanation:

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

m’ = m so,

Here,
x₁ = h, y₁ = k, α m’ = m.

So, the equations of the required lines are

and y = k

Hence, Equation of given line is and y = k