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Multiple choice

If the roots of the equation $z^{3}+az^{2}+bz+c=0$ are of unit modulus ($a,b,c$ are complex), then greatest values of $\left| ac \right| $ abd $\left| bc \right|$ respectively are

  1. $1$ and $3$
  2. $3$ and $1$
  3. $3$ and $3$
  4. $1$ and $1$
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