JEE Complex Numbers 2

Algebra Level 5

Let \(z_1,z_2\) be complex numbers such that \(Im(z_1z_2)=1\), the minimum value of \[|z_1|^2+|z_2|^2+Re(z_1z_2)\] is \(\omega\). Then calculate \(\lfloor 100\omega\rfloor\).

Details and Assumptions

  • \(Im(z)\) is the imaginary part of complex number \(z\)
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