Question

Find the perpendicular distance from the origin to the line joining the points

(cosθ,sinθ) and (cosϕ,sinϕ).

Answer 1

The equation of the line joining the points (cosθ,sinθ) and (cosϕ,sinϕ) is given by

It is known that the perpendicular distance (d) of a line Ax + By + C = 0 from a point

Therefore, the perpendicular distance (d) of the given line from point (x₁, y₁) = (0, 0) is