Find the perpendicular distance of the line joining the points (cosθ, sinθ) and (cosϕ, sinϕ) from the origin.
Given: points (cosθ, sinθ) and (cosϕ, sinϕ) from the origin.
To find:
The perpendicular distance of the line joining the points (cosθ, sinθ) and (cosϕ, sinϕ) from the origin
Concept Used:
Distance of a point from a line.
Explanation:
The equation of the line joining the points (cos θ, sin θ) and (cos ϕ, sin ϕ) is given below:
⇒
⇒
Let d be the perpendicular distance from the origin to the line
-sinθ2 + cosϕ-cosθ2
⇒ d
⇒ d
⇒ d
⇒ d
⇒ d
⇒ d
⇒ d
Hence, the required distance is