# 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 $z$
×