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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.
Solution
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).
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