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If iz3+z2-z...

Question

If $i z^{3} + z^{2} - z + i = 0$ , then $| z | =$

A

1

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B

2

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C

- 1

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D

- 2

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Solution

The correct option is A $1$
We have,
$i z^{2} (z - i) - (z - i) = 0$
$\Rightarrow z = i$ or $i z^{2} = 1$
$\Rightarrow | z | = 1$

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