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.

×

Problem Loading...

Note Loading...

Set Loading...