I need to describe and sketch a locus:

Modulus((z+24)/(z-8i))=3

where do I begin to describe the centre of this locus without converting it into a cartesian equation?

and, how many ways can the cartesian equation be found?

I found (x-3)^2+(y-9)^2=90 by using z=x+yi

if anyone can help it would be much appreciated. Thanks

Ray