Q2 of 319 Page 23

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


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