Internal Section Formula
When the point divides the line segment in the ratio m : n internally at point C then that point lies on the line segment i.e., C divides AB internally, then we can use the Internal Section formula to calculate coordinates of C with the help of ratio and coordinates of the endpoints A and B. It is also called Internal Division.
The term ‘Sectional Formula’ is generally used for Internal Sectional Formula. If the coordinates of A and B are (x1, y1) and (x2, y2) respectively then Internal Section Formula is given as:
Section Formula
Section Formula is a useful tool in coordinate geometry, which helps us find the coordinate of any point on a line which is dividing the line into some known ratio. Suppose a point divides a line segment into two parts which may be equal or not, with the help of the section formula we can find the coordinates of that point.
In this article, we will learn about section formulas, the types of division of lines, and how to solve problems based on them in detail.
Table of Content
- What is Section Formula?
- Internal Section Formula
- Derivation of Section Formula
- External Section Formula
- Derivation of the External Section Formula
- Section Formula for Midpoint