Find the equation of the straight lines passing through the following pair of points: (a cos α, a sin α) and (a cos β, a sin β)

Question

Philoid · Accepted Answer

Given: ( x₁,y₁) = (a cos α, a sin α), ( x₂,y₂) = (a cos β, a sin β)

Concept Used:

The equation of the line passing through the two points ( x₁, y₁) and ( x₂, y₂).

To find:

The equation of straight line passing through a pair of points.

Explanation:

So, the equation of the line passing through the two points is

The formula used:

⇒

Dividing by

⇒

Hence, the equation of the line is