Find the perpendicular distance from the origin of the perpendicular from the point (1, 2) upon the straight line.

Given:

Line

To find:

The perpendicular distance from the origin of the perpendicular from the point (1, 2) upon the straight line .

Concept Used:

Distance of a point from a line.

Explanation:

The equation of the line perpendicular to is
This line passes through (1, 2).

∴ + 2 + λ = 0

⇒ λ

Substituting the value of λ, we get

Let d be the perpendicular distance from the origin to the line

d

Hence, the required perpendicular distance is