Section Formula


Coordinate Geometry I - Concepts
Class - 10th CBSE Subjects
 
 
Concept Explanation
 

Section Formula

Section formula is used to find the coordinates of a point that divides the line segment joining the points in a given ratio.

Internal Division:

Coordinates of point P(x,y) which divides the line segment joining A(x_{1},y_{1})  and B B(x_{2},y_{2}) internally in the ratio m_{1}:m_{2} (m_{1},m_{2}>0) are given by

            x=frac{m_{1}x_{2}+m_{2}x_{1}}{m_{1}+m_{2}}

           y=frac{m_{1}y_{2}+m_{2}y_{1}}{m_{1}+m_{2}}

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Sample Questions
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Question : 1

A point divides the line segment with end points (m,n) and (n,m) in the ratio n: m , internally. Which of the following is the ordinate of the point that divides this line segment ?

Right Option : C
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Question : 2

 Find the ratio in which the point (-4,p) divides the line segment joining the points (-5,-4) and (-2,4). Hence, find the value of p.

Right Option : C
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Question : 3

A ponit divides the line segment formed by joining the points (m,n) and (n,m)in the ratio m : n, internally.Which of the following is the x-coordinate of the point that divides this line segment?

Right Option : B
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