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Question

If Z satisfies |Z+1|<|Z-2|, then w = 3 Z +2 +i satisfies
  1. |w+1|<|w-8|
  2. |w+1|<|w-7|
  3. >7
  4. |w+5|<|w-4|


Solution

The correct option is A |w+1|<|w-8|
|Z+1|<|Z2||3z+3|<|3z6||w+1i|<|w8i||w+1|<|w8|

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