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Consider the region R in the Argand plan...

Consider the region `R` in the Argand plane described by the complex number. `Z` satisfying the inequalities `|Z-2| le |Z-4|`, `|Z-3| le |Z+3|`, `|Z-i| le |Z-3i|`, `|Z+i| le |Z+3i|`
Answer the followin questions :
The maximum value of `|Z|` for any `Z` in `R` is

A

`5`

B

`14`

C

`sqrt(13)`

D

`12`

Text Solution

Verified by Experts

The correct Answer is:
A
`(a)` `|Z_(1)-Z_(2)|_(max)=`Length of diagonal
`=sqrt(3^(2)+4^(2))=5`
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