Question

Reduce the equation 3x - 4y + 10 = 0 into normal form and hence find p and α.

Answer 1

Equation of given st. line in general form is 3x-4+10 = 0

or 3x -4y = -10

or -3x +4y = 10

dividing both sides by √{(-3)2 +(4)2} = 5

which is the required equation of straight line in Normal form. Comparing it with x cos a. + y sin a. = p we get,