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.

If you're looking to skyrocket your preparation for JEE-2015, then go for solving this set of questions.

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 8 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!