Q3 of 319 Page 23

Find the length of the perpendicular from the origin to the straight line joining the two points whose coordinates are (a cos α, a sin α) and (a cos β, a sin β).

Given:


Coordinates are (a cos α, a sin α) and (a cos β, a sin β).


To find:


The length of the perpendicular from the origin to the straight line joining the two points whose coordinates are (a cos α, a sin α) and (a cos β, a sin β).


Concept Used:


Distance of a point from a line.


Explanation:


Equation of the line passing through (acosα, asinα) and (acosβ, asinβ) is








The distance of the line from the origin is








Hence, the required distance is


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