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Question
Find the co-ordinates of the point which divides the join of A(-5, 11) and B(4,-7) in the ratio 7 : 2
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Solution
The end points of AB are A(-5, 11) and B(4,-7)
Therefore `(x_1=-5, y
_1=11) and (x_2 = 4, y_2 = -7)`
Also, m = 7 and n= 2
Let the required point be p(x,y) .
By section formula, we get
`x = ((mx_2 +nx_1))/((m+n)) , y= ((my_2+ny_1))/((m+n))`
`⇒ x = ({ 7 xx 4 + 2 xx (-5)})/(7 +2) , y = ({ 7xx (-7) + 2 xx11})/(7 +2)` `⇒ x = (28-10)/9 , y = (-49 +22)/9`
`⇒ x = 18/9 , y = -27/9 `
Therefore , x = 2 and y = -3
Hence, the required point are P =(2,-3).
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