Question

P(–3, 2) is the mid-point of line segment AB as shown in the given figure. Find the co-ordinates of points A and B.

Answer 1

Point A lies on y-axis, so let its co-ordinates be (0, y).

Point B lies on x-axis, so let its co-ordinates be (x, 0).

P(–3, 2) is the mid-point of line segment AB.

∴ `(-3, 2) = ((0 + x)/2, (y + 0)/2)`

`=> (-3, 2) = (x/2, y/2)`

`=> -3 = x/2` and `2 = y/2`

`=>` −6 = x and 4 = y

Thus, the co-ordinates of points A and B are (0, 4) and (−6, 0) respectively.