Q. 35.0( 1 Vote )

# 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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