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Question

Find the equation of the circle when the end points of a diameter are A(3,2) and B(5,3)

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Solution

Using diameter form,the equation of the circle having A(3,2) and B(3,5) as the end points of a diameter is
(x3)(x5)+(y2)(y3)=0
x23x5x+15+y22y3y+6=0
x2+y28x5y+21=0 is the required equation of the circle.


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