‌|z1−z2+3+4i−3−4i| ≤|z1−3−4i|+|3+4i|+|z2| ‌|z1−z2|≤5+15+5 ‌|z1−z2|≤25 ‌|z2−z1+z1−3−4i+3+4i| ‌‌‌≤|z2−z1|+5+5 ‌‌ Now, ‌|z2|≤|z2−z1|+10 ‌|z2−z1|≥5 So, the sum of maximum and minimum values of |z1−z2| is 30 .