JEE Main & Advanced
Mathematics
Complex Numbers and Quadratic Equations
Question Bank
Mock Test - Complex Numbers and Quadratic Equations
question_answer
If arg\[\left( \frac{{{z}_{1}}-\frac{z}{\left| z \right|}}{\frac{z}{\left| z \right|}} \right)=\frac{\pi }{2}\]and \[\left| \frac{z}{\left| z \right|}-{{z}_{1}} \right|\]=3, then \[\left| {{z}_{1}} \right|\] equals to _______.