If |z1| = 2, |z2| = 3 then |z1 + z2 + 5 + 12i| is less than or equal to

Question

If |z1| = 2, |z2| = 3 then |z1 + z2 + 5 + 12i| is less than or equal to (A) 8 (B) 18 (C) 10 (D) 5

Tardigrade Admin · Accepted Answer

∵ |z1 + z2 + ... + zn| le |z1| + |z2| + ... + |zn| ∴ |z1 + z2 + (5 + 12 i)| le |z1| + |z2| + |5 + 12i| = 2 + 3 + 13 = 18

Q. If $∣ z_{1} ∣ = 2, ∣ z_{2} ∣ = 3$ then $∣ z_{1} + z_{2} + 5 + 12 i ∣$ is less than or equal to