Reduce the following equations into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive X-axis.
`(i) x - sqrt 3y + 8 = 0, (ii) y - 2 = 0 , (iii) 3t + 2 = 0 `.

Answer

`(i) x cos 120^(@) + y sin 120^(@) = 4, 4 , 120^(@) (ii) x cos 90^(@) + y sin 90^(@) = 2,2, 90^(@) ; `
(iii) ` x cos 315^(@) + y sin 315^(@) = 2 sqrt2 , 2 sqrt2 , 315^(@)`.