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Let A,B,C be three sets of complex numbe...

Let A,B,C be three sets of complex number as defined below
`A={z:lm (z) ge 1}`
`B={z:|z-2-i|=3}`
`C={z:Re((1-i)z)=sqrt(2)}`
Let z be any point in `A cap B cap C` and let w be any point satisfying `|w-2-i|lt 3` Then |z|-|w|+3 lies between

A

`25&29`

B

`30&34`

C

`35&39`

D

`40&44`

Text Solution

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The correct Answer is:
C
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