[JEE Advanced 1995] if iz 3 z 2 z i 0 show that z 1
If $iz^3+z^2-z+i=0$, show that $|z|=1$.
1 Answer
VAVidaara Admin
✓ Vidaara Team
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· 2d ago
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Answer: Proved $|z|=1$.
Factor: $iz^3+z^2-z+i=(z-i)(iz^2-1)=0$. So $z=i$ (with $|z|=1$) or $iz^2=1\Rightarrow z^2=-i\Rightarrow|z|^2=1$. In all cases $|z|=1$.
JEE Advanced 1995 · Complex Numbers — verified solution by the Vidaara Team.
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