Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, – 3) and B is (1, 4)
Let the coordinates of point A be (x, y)
Mid-point of AB is (2, - 3), which is the center of circle
(2, -3) = ()
= 2
x + 1 = 4
x = 3
And, = -3
y + 4 = -6
y = -10
Therefore, the coordinates of A are (3, -10)