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


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