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The co-ordinates of the end points of a ...

The co-ordinates of the end points of a diameter are (-1, 5) and (3, -1). Find the co-ordinates of the centre and the radius of circle.

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Let the co-ordinates of the end points of diameter `AB` are `A(1,-5) and B(3, -1)`
` therefore" "` Co-ordinates of the centre P = Co-ordinates of mid-point of AB
`" " =((-1+3)/(2), (5+(-1))/(2))=(1, 2)`
and `" "` radius of circle = length of PA
`" "=sqrt((1+ 1)^(2)+(2-5)^(2))=sqrt(4+ 9)=sqrt(13)` units
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