Q. 104.8( 6 Votes )
Reduce the equation x – √3 y + 8 = 0 into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive x-axis.
Answer :
Equation of line in normal form is given by x cos θ + y sin θ = p where ‘θ’ is the angle between perpendicular and positive x axis and ‘p’ is perpendicular distance from origin.
Given equation is x – 
y + 8 = 0
Dividing both sides by 
The above equation is of the form x cos θ + y sin θ = p, where θ = 120° and p = 4.
Perpendicular distance of line from origin = 4
Angle between perpendicular and positive x – axis = 120°
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