Complex NumbersHard
Question
If |z| = max {|z - 1|, |z + 1|}, then
Options
A. |z + 
| = 
| = B. z + = 1
= 1C.| z + | = 1
| = 1D.z ∈ φ
Solution
max {|z - 1|, |z + 1|} = |z - 1| if Re(z) ≤ 0
|z + 1| if Re(z) > 0
for Re(z) > 0 |z| = |z + 1| ⇒ Re(z) = -
Not possible
|z + 1| if Re(z) > 0
for Re(z) > 0 |z| = |z + 1| ⇒ Re(z) = -
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