Question

Find the points on the x-axis, whose distances from the line are 4 units.

Answer 1

The given equation of line is

On comparing equation (1) with general equation of line Ax + By + C = 0, we obtain A = 4, B = 3, and C = –12.

Let (a, 0) be the point on the x-axis whose distance from the given line is 4 units.

It is known that the perpendicular distance (d) of a line Ax + By + C = 0 from a point (x₁, y₁) is given by.

Therefore,

Thus, the required points on the x-axis are (–2, 0) and (8, 0).