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  • Find the coordinates of the point which divides the join of (–1, 7) and (4, –3) in the ratio 2 : 3.

1.  Find the coordinates of the point which divides the join of (–1, 7) and (4, –3) in the ratio 2 : 3.

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Let the coordinates of point P(x,y) which divides the line segment joining the points A(-1,7) and B(4,-3), internally, in the ratio m_{1}:m_{2} then,

Section formula: \left (\frac{m_{1}x_{2}+m_{2}x_{1}}{m_{1}+m_{2}} , \frac{m_{1}y_{2}+m_{2}y_{1}}{m_{1}+m_{2}} \right )

Substituting the values in the formula: 

Here, m_{1}:m_{2} = 2:3

\Rightarrow \left (\frac{2(4)+3(-1)}{2+3} , \frac{2(-3)+3(7)}{2+3} \right )

\Rightarrow \left (\frac{5}{5} , \frac{15}{5} \right )

Hence the coordinate is P \left (1 , 3 \right ).

Posted by

Divya Prakash Singh

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