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Question

Let z be a complex number such that |zi|2. If z1=5+3i, then the maximum value of |iz+z1| is

A
7+13
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B
7+12
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C
7
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D
9
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Solution

The correct option is C 7
Given: |zi|2 and z1=5+3i
Now,
|iz+z1|=|iz+5+3i|
=|z+35i|
=|(zi)+(34i)|
|zi|+|34i|
2+5
i.e., |iz+z1|7
The maximum value of |iz+z1| is 7

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