Passing through ( · Part 3

If C ≠ , then A x + B y + C = can be written as or C C A B b ... ( ) where a = A C and b = B C We know that equation ( ) is intercept form of the equation of a line whose x -intercept is A C and y -intercept is B C If C = , then A x + B y + C = can be written as A x + B y = , which is a line passing through the origin and, therefore, has zero intercepts on the axes. (c) Normal form Let x cos ω + y s in ω = p be the normal form of the line represented by the equation A x + B y + C = or A x + B y = – C . Thus, both the equations are same and therefore, A B C cos ω sin ω p = − MATHEMATICS which gives A B cos ω and sin ω C C p p = − = − Now