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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

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If the abscissae and the ordinates of two points A and B be the roots of ax^2+ bx +c=0 and a'y^2+b'y+c'=0 respectively, show that the equation of the circle described on AB as diameter is : aa'(x^2+y^2)+a' bx+ab'y+(ca’ +c'a)=0 .