Find a point on the x-axis, which is equidistant from the point (7, 6) and (3, 4).

Question

Philoid · Accepted Answer

Key points to solve the problem:

• Idea of distance formula- Distance between two points A(x₁,y₁) and B(x₂,y₂) is given by- AB =

As, the point is on x-axis so y-coordinate is 0.

Let the coordinate be (x,0)

Given distance of (x,0) from (7,6) and (3,4) is same.

∴ using distance formula we have:

∴ point on x-axis is (7.5,0)