Distance of a Point From a Line - Practice Questions & MCQ

Distance of a point from a line

Perpendicular length from a point (x₁,y₁) to the line L : Ax + By + C = 0 is 

Let L : Ax + By + C = 0 be a line, whose distance from the point P (x₁ , y₁ ) is d. Draw a perpendicular PM from the point P to the line L

The line meets the x-and y-axes at the points Q and R, respectively. Then, the coordinates of the points are and . Thus, the area of the triangle PQR is given by

Distance between two parallel lines

The equation of two parallel line is ax + by + c = 0 and ax + by + d = 0, then the distance between them is the perpendicular distance of any point on one line from the other line.

If  is any point on the line ax + by + c = 0 

Then,

Now, perpendicular distance of the point from the line ax + by + d = 0 is