Question

A and B are the end points of a diameter of a circle having its centre at (1, 2), If the coordinates of A are (-3, 5), find the coordinates of B.​

Answer 1

Answer:

Let the coordinates of B be (x,y)

O, centre, is the midpoint of AB

$1 = \frac{x - 3}{2} \\2 = x - 3\\x = 5\\\\2 = \frac{5 + y}{2}\\4 = 5 + y\\y = -1$

B => (5,-1)