# Ooh too Complex

**Algebra**Level 3

Let \(z_1 = 6+i\) and \(z_2 = 4-3i\). Let \(z\) be a complex number such that \(\text{arg}\left(\dfrac{z-z_1}{z_2-z}\right)=\dfrac{\pi}{2}\), and \(|z-(5-i)|\)=\(\sqrt{m}\). Find \(m.\)

**Details and Assumptions**:

\( \text{arg}(x)\) is the argument of \(x\).

\(z_1,z_2,\) and \(z\) are complex numbers.