Question

Find the coordinates of a point a where ab is the diameter of a circle

Answer 1

Let the coordinates of point A be (x,y).

Given that Midpoint of AB is (2,-3).

The midpoint formula is:

= > (x1 + x2/2), (y1 + y2)/2

(1).

= > (x + 1)/2 = 2

= > x + 1 = 4

= > x = 3.

(2) 

= > (y + 4)/2 = -3

= > y + 4 = -6

= > y = -10.

Therefore the coordinates of point A is (3,-10).