Q : 3 Reduce the following equations into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive x-axis.
(iii)
Given equation is
Coefficient of x is 1 and y is -1
Therefore,
Now, Divide both the sides by
we wiil get
we can rewrite it as
Now, we know that normal form of line is
Where is the angle between the perpendicular and the positive x-axis and p is the perpendicular distance from the origin
On comparing equation (i) and (ii)
we wiil get
Therefore, the angle between perpendicular and the positive x-axis and perpendicular distance from the origin is respectively