Question
Question: If \|z<sub>1</sub>\| = 4, \|z<sub>2</sub>\| = 3, then \|z<sub>1</sub> + z<sub>2</sub> + 3 + 4i\| is ...
If |z1| = 4, |z2| = 3, then |z1 + z2 + 3 + 4i| is less than
A
2
B
5
C
7
D
12
Answer
12
Explanation
Solution
Sol. |z1 + z2 + 3 + 4i| ≤ |z1| + |z2| + |3 + 4i| = 4 + 3 + 5 = 12