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For a comple number Z, if |Z-1+i|+|Z+i|=...

For a comple number Z, if `|Z-1+i|+|Z+i|=1`, then the range of the principle argument of Z is (where principle arg `(Z) in (-pi, pi]`)

A

`[-(pi)/(4),(pi)/(4)]`

B

`[(pi)/(4), (pi)/(2)]`

C

`[-(pi)/(2), -(pi)/(4)]`

D

`[-(pi)/(2), (pi)/(2)]`

Text Solution

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The correct Answer is:
C
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