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Find the equation of the circle which ha...

Find the equation of the circle which has A(1,3) and B(4,5) as the opposite ends of a diameter.

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The required equation of circle is (x-1) (x-4)+(y-3) (y-5)=0
or,`x^2-5x+4+y^2-8y+15=0` or, `x^2+y^2-5x-8y+19=0`
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