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)
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