Maxima and MinimaHard
Question
If |z + 4| ≤ 3, then the maximum value of |z + 1| is
Options
A.4
B.10
C.6
D.0
Solution
From the Argand diagram maximum
value of |z + 1| is 6.
Alternative:
|z + 1| = |z + 4 - 3|
≤ |z + 4| + |- 3| = 6.
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