Question
Question: For any complex number z, the minimum value of \|z\| + \|z – 1\| is...
For any complex number z, the minimum value of |z| + |z – 1| is
A
1
B
0
C
½
D
3/2
Answer
1
Explanation
Solution
Sol. |1 – z + z| £ |1 – z| +|z| ; 1 £ |1 – z| + |z|
\ the minimum value of |z| + |z – 1| is 1.