need help ASAP - conic sections

[lightflower]

If the circle X^2 + Y^2 + Ax + By + C = 0 passes through the origin and has the same center as the circle x^2 + y^2 - 9x + 8y

 

[Dr.Peterson]

Something seems to have been cut off. I expect "... + _ = 0, then ..."

Please show the whole problem, and some work so we can see where you need help:

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[pka]

If the circle X^2 + Y^2 + Ax + By + C = 0 passes through the origin and has the same center as the circle x^2 + y^2 - 9x + 8y

As Peterson has already pointed out, you have cut off some important information.
I suspect the circle is \((x-3)^2+(y+4)^2=25\) If Not at least it gives you have the centre.