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  • The line segment AB with coordinates A(2,8) and B( 4,2) is a diameter of a circle. Find the center and radius of the circle.

The line segment AB with coordinates A(2,8) and B( 4,2) is a diameter of a circle. Find the center and radius of the circle.

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Solution: We have, \ A(2,8) ;and; B(4,2)

Let \C(h,k) be the centre of circle And  R is the radius of circle

Now , \ h=(2+4)/2=h; And ; k=(8+2)/2=k\ \Rightarrow h=3 ;And ; k=5 \ \r=sqrt10

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Deependra Verma

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