1.

The co ordinates of the points of a line segment in the ratio 2:1​

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ANSWER:

Using the section formula, if a point (X,y) divides the line joining the points (X1,y1) and (X2,Y2) internally in the ratio m:n, then (x,y)=(m+nmx2+nx1,m+nmy2+ny1)

Substituting (x1,y1)=(−2,1) and (x2,y2)=(1,4)  and m=2,n=1 in the section formula, we get the

point (2+12(1)+1(−2),2+12(4)+1(1))=(0,3)


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