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)

Question

Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, &#x2013; 3) and B is (1, 4)

Philoid · Accepted Answer

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)