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The abscissae of two points A and B are ...

The abscissae of two points `A and B` are the roots of the equaiton `x^2 + 2x-a^2 =0` and the ordinats are the roots of the equaiton `y^2 + 4y-b^2 =0`. Find the equation of the circle with `AB` as its diameter. Also find the coordinates of the centre and the length of the radius of the circle.

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