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