Learn how to find Coordinates of Point Externally/Internally using Section or Ratio tutorial, definition, example, formula

Section or Ratio Tutorial

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>> Calculator using Section or Ratio Formula.

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 Internally:

where
(x₁, y₁) (x₂, y₂) be the end points of a line segment.
m:n is ratio externally are internally.
Externally

Internally

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 2:1.

x₁ = 2, y₁ = 3 and
x₂ = 5, y₂ = 6
m = 2, n = 1

Substitute in the formula as :

Case 2: Find the coordinates of the point which divides the line joining the points (2, 1), (3, 5) internally in the ratio 2:5.

x₁ = 2, y₁ = 1 and
x₂ = 3, y₂ = 5
m = 2, n = 5

Substitute in the formula as :

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

Related Calculator:
>> Section or Ratio Calculator.

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