The centres of given circles are C1(−3,−3),C2(6,6) and radii are r1=√9+9+0=3√2,‌‌r2=√36+36+0=6√2‌, ‌ respectively. Now, C1C2=√(6+3)2+(6+3)2=9√2 and r1+r2=3√2+6√2=9√2 Here, ‌‌C1C2=r1+r2 So, both circles touch each other externally.