Question

The coordinates of the end points of the diameter of a circle are (3, 1) and (7, 11). Find the coordinates of the centre of the circle. 

Answer 1

Let O (x , y) be the centre of the circle with diameter AB , 

∴ O is midpoint of Ab 

i.e. AO : OB = 1 : 1

Coordinates of O are ,

O (x , y) = O `((3 + 7)/2 , (1 + 11)/2)` = O (5 , 6)

Thus , the coordinates of centre are (5 , 6).