Given:

Line and distance of 3 units from the origin.

To find:

The equation of a line perpendicular to the line and at a distance of 3 units from the origin.

Explanation:

The line perpendicular to is

It is given that the line is at a distance of 3 units from the origin.

⇒ λ = ± 6

Substituting the value of λ,

We get ,

Hence, equation of the required line is