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Question

If iz3+z2z+i=0, then |z| equals


A

4

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B

3

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C

2

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D

1

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Solution

The correct option is D

1


We can write the given equation as
z3+1iz21iz+1=0
or z3iz2+izi2=0z2(zi)+i(zi)=0(z2+i)(zi)=0z2=i,z=i|z|2=|i| and |z|=|i||z|2=1 and |z|=1|z|=1


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