Question

Derive a formula to find the perpendicular distance of a point P(x1,y1) from the line Ax+By+C=0.

Answer 1

Answer:

P (x1, y1) be the given point. To find the length of the perpendicular drawn from P upon the line (i). Firstly, we assume that the line ax + by + c = 0 meets x-axis at y = 0. Therefore, putting y = 0 in ax + by + c = 0 we get ax + c = 0 ⇒ x = -ca.