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The modulus and amplitude of (1+2i)/(1-(...

The modulus and amplitude of `(1+2i)/(1-(1-i)^(2))` are

A

`sqrt(2)` and `(pi)/(6)`

B

`1` and `(pi)/(4)`

C

`1` and `0`

D

`1` and `(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` `(1+2i)/(1-(1-i)^(2))=(1+2i)/(1-1-i^(2)+2i)=(1+2i)/(1+2i)=1+i.0`
`:.` Modulus `=1`
Amplitude `=tan^(-1)|(0)/(1)|=0`
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