Question:
Find the coordinates of the points which divide the line segment joining A(– 2, 2) and B(2, 8) into four equal parts.
Find the coordinates of the points which divide the line segment joining A(– 2, 2) and B(2, 8) into four equal parts.
Updated On: Jan 13, 2026
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Solution and Explanation
From the figure it is observed that points P,Q,R are dividing the line segment in a ratio 1:3,1:1,3:1 respectively,
Coordinates of P=\((\frac{1\times2+3\times(-2)}{1+3},\frac{1\times8+3\times2}{1+3})\)=\((-1,\frac{7}{2})\)
Coordinates of Q= \((\frac{2+(-2)}{2},\frac{2+8}{3+1})=(0,5)\)
Coordinates of R= \((\frac{3\times2+1\times(-2)}{1+3},\frac{3\times8+1\times2}{3+1})=(1,\frac{13}{2})\)
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