# Solve it like a Mathematician.

Algebra Level 5

Let $$z_1=10+6i$$ and $$z_2=4+6i$$. If $$z$$ be a complex number such that $$\text{arg}\left( \frac{z-z_1}{z-z_2} \right)=\frac{\pi}{4}$$, then find the value of $$|z-7-9i|$$. Give your answer up to 3 decimal places.

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