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Question 91
Point A divides segment BC in the ratio 4:1. Co-ordinates of B are (6 , 1) and C are (7/2 , 6). What are the co-ordinates of point A?
Solution
$$(x,y)=(\frac{mx_{2}+nx_{1}}{m+n},\frac{my_{2}+ny_{1}}{m+n})$$
$$(x,y)=(\frac{4(7/2)+1(6)}{4+1},\frac{4(6)+1(1)}{4+1})$$
$$(x,y)=(4,5)$$
So the answer is option B.
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