Normal Form of a Straight Line Equation Explained

Lesson#14
What is Normal ? Normal form of equation of straight line ]
What is Normal?
A perpendicular drawn from a point to a curve is called normal.
CASE 5: If length of normal from origin to line and the angle "theta" (measured counterclockwise) between that normal and positive x-axis are given, we will use:
Normal Form: x cos theta + y sin theta = p
Math.Ex4.3 Part 14
Normal Form of Equation of a Straight Line
Theorem: Equation of a straight line, such that length of normal from origin to line is P and theta is the angle (measured counterclockwise) between normal and positive x-axis.
CASE 6: If inclination "a" and a point Q(x1 , y1) of a line are given.
We will use symmetric Form or Parametric Form.
Example: Write parametric equation of a straight line whose inclination is 45ُ and passing through (2 , 5).
Introduction to Analytical Geometry
Chapter No 4
Exercise No 4.3
Mathematics
part 2