Question

A lies on the x - axis amd B lies on the y -axis . The midpoint of the line segment AB is (4 , -3). Find the coordinates of A and B .

Answer 1

Coordinates of B are (14 , 6)

Let (x , 0) lies on the x - axis and B (0 , y) lies on y - axis , given AP : PB = 1 : 1

Coordinates of P are ,

P (4 , -3) = P `(("x" + 0)/2 , (0 + "y")/2)`

`4 = "x"/2 ,  , -3 = 4/2`

x = 8 , y = -6

Co-ordinates of A are (8 , 0) and B are (0 , -6)