Question

In the given figure, P(4, 2) is mid-point of line segment AB. Find the co-ordinates of A and B. 

Answer 1

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

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

P(4, 2) is mid-point of line segment AB.

∴ `(4, 2) = ((x + 0)/2, (0 + y)/2)`

`=> 4 = x/2` and `2 = y/2`

`=>` 8 = x and 4 = y

Hence, the co-ordinates of points A and B are (8, 0) and (0, 4) respectively.