Question

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If AB is a diameter of circle C(0,r) where coordinates of a and b are (5,6) and (3,2) respectively then find the coordinates of O​

Answer 1

Answer:

Given:-

A circle with centre (2,−3) and AB is the diameter of circle with B(1,4).

To find:- Coordinate of point A.

Let (x,y) be the coordinate of A.

Since AB is the diameter of the circle, the centre will be the mid-point of AB.

now, as centre is the mid-point of AB.

x-coordinate of centre =  

2

x+1

​

 

y-coordinate of centre =  

2

y+4

​

 

But given that centre of circle is (2,−3).

Therefore,

2

x+1

​

=2⇒x=3

2

y+4

​

=−3⇒y=−10

Explanation: