Section Formula for Midpoint
When the point dividing the line segment joining the two points A and B coincide with the midpoint of the line segment, then this special case emerges. The section formula for this case is also referred to as the midpoint formula.
Let two points A(x1, y1) and B(x2, y2), and a point C(x, y) be the midpoint of the line segment AB i.e., AC : CB = 1:1, then the section formula becomes as follows:
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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