Suppose z=a+bi, where a and b are integers and i is the imaginary unit. We are given that |1+iz|=|1−iz| and |z−(13+15i)|<17. Find the largest possible value of a+b.

Answer 1

These look like test questions, and no one here will help you cheat on your math test.

If you show some ideas of how you think each could be solved, someone might be more likely to help you.

Answer 2

I agree. Please explain what you came up with and how far you have gotten before posting 10 questions in a row.