Section or Ratio Tutorial

Section or Ratio Tutorial

Section or Ratio Definition

Ratio formula or section formula is used to find the coordinates of a point P which divides the segment joining the points A and B internally or externally in the ratio m n.

Section or Ratio Formula

Ratio Externally
ratio
Ratio Internally
ratio
where
(x1, y1) and (x2, y2) be the end points of a line segment. mn is ratio externally are internally.
Externally
ratio
Internally
ratio
Section or Ratio Example
Case 1 :

Find the coordinates of the point which divides the line joining the points (2, 3), (5, 6) internally in the ratio 21. x1 = 2,y1 = 3 and x2 = 5,y2 = 6 m = 2,n = 1 Substitute in the formula as

ratio
Case 2 :

Find the coordinates of the point which divides the line joining the points (2, 1), (3, 5) internally in the ratio 25. x1 = 2,y1 = 1 and x2 = 3,y2 = 5 m = 2,n = 5 Substitute in the formula as

ratio external

The above example will clearly illustrates how to calculate the Coordinates of Point Externally/Internally using Section or Ratio formula manually.

This tutorial will help you dynamically to find the Analytical Geometry problems.

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