Yeah, and to get the other two you make the centre (-r,r) and (r,-r). Here's my working: m.imgur.com/jKM4MDC sorry for the bad quality.
Edit: I'll just explain why the two other centres are (-r,r) and (r,-r). Though the line x+y-2=0 only passes through the 1st, 2nd and 4th quadrants, then the...