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Home » 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.
CBSE | Class 10 | Coordinate Geometry | Maths | NCERT
Find the coordinates of the points which divide the line segment joining A (- 2, 2) and B (2, 8) into four equal parts.

Solution:

Make a figure, line dividing by 4 points.

The points X, Y, and Z divide the line segment in the ratios 1:3, 1:1, and 3:1, respectively, as shown in the diagram.

Coordinates of X=\left( \frac{1\left( 2 \right)+3\left( -2 \right)}{1+3},\frac{1\left( 8 \right)+3\left( 2 \right)}{1+3} \right)=\left( -1,7/2 \right)

Coordinates of Y=\left( \frac{2\left( 1 \right)-2\left( 1 \right)}{1+1},\frac{2\left( 1 \right)+8\left( 1 \right)}{1+1} \right)=\left( 0,5 \right)

Coordinates of Z=\left( \frac{3\left( 2 \right)+1\left( -2 \right)}{1+3},\frac{3\left( 8 \right)+1\left( 2 \right)}{1+3} \right)=\left( 1,13/2 \right)

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