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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 :
Minimum of `|Z_(1)-Z_(2)|` given that `Z_(1)`, `Z_(2)` are any two complex numbers lying in the region `R` is

A

`0`

B

`5`

C

`sqrt(13)`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
A
`(a)` `|Z_(1)-Z_(2)|_(min)=0`, occurs when `z_(1)` and `z_(2)` coincide.
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