The coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).
Given that the end points of line segment are X(1,-2) and Y(10,3) and the ratio in which the line segment is being divided is 5:1.
Line segment is a collection of points which when together joined joins two points on a surface.
The coordinates of point dividing a line segment with end points and ratio m:ncan be calculated using the below given formula:
(X,Y)=.
We have to just put the values in the above formula to get the coordinates.
(X,Y)=(5*10+1*1/5+1,5*3-2*1/5+1)
=(50+1/6,15-2/6)
=(51/6,13/6)
=(17/2,13/6)
Hence the coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).
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