Find the coordinates of the points which divide the line segment joining A (- 2, 2) and B (2, 8) into four equal parts.
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Solution
From the figure, it can be observed that points X, Y, Z are dividing the line segment in a ratio 1:3, 1:1, 3:1 respectively.
Coordinates of X=(1×2+3×(−2)1+3,1×8+3×21+3) =(−1,72)
Coordinates of Y=(2+(−2)2,2+82) =(0,5)
Coordinates of Z=(3×2+1×(−2)3+1,3×8+1×23+1) =(1,132)