Question

Find the coordinates of the point which divides the line segment joining A(-4,0) and B(0,6) into four equal parts.​

Answer 1

Given points are A(-4, 0) and B(0, 6). Mid-point of A and B will be (x, y),

Then x = = -2 and y = = 3

Therefore, the coordinates of the mid-point of AB is (-2, 3).

Now, the coordinates of the mid-point of (-4, 0) and (-2, 3) will be , i.e.,

Again, the coordinates of the mid-point of (-2, 3) and (0, 6) will be

and y2 = = i.e.,

Therefore, the coordinates of the three points which divides AB in four equal parts are

, (-2, 3)

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