Find the coordinates of the points which divide the line segment joining A(-2, 2) and B(2, 8) into four equal parts.

Let C, D and E divide the line segment AB into four equal parts. By section-formula, (x, y) = Let co-ordinates of C be (a, b) and from figure we see that C divides AB in the ratio 1 : 3. Substituting values we get : From figure, D is the mid-point of AB. Let co-ordinates of D be (g, h). By formula, Mid-point = Substituting values we get : Let co-ordinates of E be (p, q) and from figure we see that E divides AB in the ratio 3 : 1. Substituting values we get : Hence, co-ordinates of required points are .

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Mathematics

Find the coordinates of the points which divide the line segment joining A(-2, 2) and B(2, 8) into four equal parts.

Coordinate Geometry

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