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What is the modulus of |(1+2i)/(1-(1-i)...

What is the modulus of `|(1+2i)/(1-(1-i)^(2))|`?

A

5

B

4

C

3

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Let `z=(1+2i)/(1-(1-i)^(2))`
`implies|z|=(|1+2i|)/(|1-(1-i)^(2)|)=(|1+2i|)/(|1-1-i^(2)+2i)=(|1+2i|)/(|1+2i|)=1`
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