Complex Optimization

Algebra Level 5

Maximize \(\alpha\) if there is exists a complex number \(z\) satisfying \[\begin{align} &|z| =3\\ &|z-(\alpha-1)i-\alpha| \leq 3 \\ &|z-(\alpha+1)i+2\alpha| >3 \end{align}\]

Details and Assumptions

  • \(\alpha\) can only be real.
×

Problem Loading...

Note Loading...

Set Loading...