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if |z-i| le 2 and z1=5+3i, then the max...

if `|z-i| le 2` and `z_1=5+3i`, then the maximum value of `|iz+z_1|` is :

A

`2+sqrt(31)`

B

7

C

`sqrt(31)-2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
We have,
`|iz+z_(0)|=|i||z-iz_(0)|=|z-5i+3|=|z-i+3-4i|`
`rArr |iz+z_(0)| le |z-i|+3-4i| le 2+5=7`
Hence, the maximum value of `|iz+z_(0)|` is 7.
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