Coordinate Geometry — Part 2: The section formula: visual lesson, CBSE Class 10 Mathematics (Standard 041 / Basic 241)

Lesson

Coordinate Geometry, Part 2: Dividing a segment

A new metro station is to be built on the line from $A$ to $B$ , two-fifths of the way from $A$ . Where exactly?

In this lesson you will

$P$ divides $AB$ in the ratio $AP : PB = 2 : 3$.

Concept

Diagram

$AP : PB = 4 : 6 = 2 : 3$, with $P$ between $A$ and $B$.

$P$ divides $AB$ internally in the ratio $m_1 : m_2$ if $P$ lies on $AB$ and $AP : PB = m_1 : m_2$ .