First slide

Algebra of complex numbers

Question

$If | z | \leq 4, then the maximum value of | i z + 3 - 4 i | is equal to$

Easy

A

2
B

4
C

3
D

9

Solution

$|i z + 3 - 4 i| \leq |i z| + |3 - 4 i| = |z| + 5 \leq 9$

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