Concise Selina Solutions for Class 10 maths Chapter 13 Section and Mid Point Formula

The section formula helps in finding the coordinates of a point dividing a given line segment into two parts such that their lengths are in a given ratio m: n. A special case of this is the midpoint of a line segment, which divides the line segment into two parts in the ratio 1:1. This formula is helpful in coordinate geometry; for instance, it can be used to find out the centroid, incenter and excenters of a triangle. It has applications in physics too; it helps find the centre of mass of systems, equilibrium points, and more.

  • The point halfway between the endpoints of a line segment is called the midpoint. A midpoint divides a line segment into two equal segments
  • In Coordinate Geometry, there are several ways to determine the midpoint of a line segment.

The midpoint of a segment with endpoints (x1, y1) and (x2, y2) has coordinate.