# Simply complex!

Algebra Level 4

If the equation $$|z-z_{1}|^{2}+|z-z_{2}|^{2}=k$$ represents the equation of a circle, where $$z_{1}=2+3i$$ and $$z_{2}=4+3i$$ are the extremities of a diameter, then the value of $$k$$ is:

×