Section Formula


Coordinate Geometry I - Concepts
Class - 10th IMO 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

Find the coordinates of the points which divides the join of P (-1, 7) and Q (4, -3) in the ratio 2 : 3.

Right Option : B
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Question : 2

Origin divides the join of points (1,1)  and  (2,2)  externally in the ratio ; 

Right Option : A
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Question : 3

A point Y(7,17) divides the line segment joining the points X( 3,5) and Z(1, -1) externally in which of the following ratio ?

Right Option : C
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