6. The line segment joining A(-3, 1) and B(7,-5) is a diameter of a circle whose centre is C.
Find the co-ordinates of the point C.
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A(-3, 1) and B( 7, -5) , C( a ,b)
AB is a diameter of a circle
C is a centre of a circle
= X1 +X2 , Y1+Y2
2. 2
= (-3)+7 = a. , 1 + (-5) = b
2. 2
=. 4. =a , (-2) =b
2. 2
=. 2. =. a. , (-2). = b
=. C. ( 2, -2 )
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