If |z - 4/z| = 2, then the maximum value of |Z| is equal to

• Complex Numbers

If |z - 4/z| = 2, then the maximum value of |Z| is equal to

1. √3 + 1
2. √5 + 1
3. 2 + √2
4. 2

Solution

|z - 4/z| = 2

|z| = |z - 4/z + 4/z| ≤ 2 + 4/|z|

(|z|2 - 2|z| - 4)/|z| ≤ 0

The correct option is B.