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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+1iz2−1iz+1=0 orz3−iz2+iz−i2=0⇒z2(z−i)+i(z−i)=0⇒(z2+i)(z−i)=0⇒z2=−i,z=i⇒|z|2=|−i|and|z|=|i|⇒|z|2=1and|z|=1⇒|z|=1