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The abscissae and ordinates of the point...

The abscissae and ordinates of the points A and B are the roots of the equations `x^2 + 2ax + b = 0 and x^2 + 2cx + d = 0` respectively, then the equation of circle with AB as diameter is

A

`x ^(2) + y ^(2) + 2ax + 2cy + d =0`

B

`x^(2) + y ^(2) - 2ax - 2cy - b -d =0`

C

`x ^(2) + y^(2) - 2ax - 2cy + b + d =0`

D

`x ^(2) + y ^(2) + 2ax + 2cy -b-d=0`

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