1. Tardigrade
  2. Question
  3. Mathematics
  4. If (z1/z2) is purely imaginary then |(z1+z2/z1-z2)| is equal to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If $\frac{z_1}{z_2}$ is purely imaginary then $\left|\frac{z_1+z_2}{z_1-z_2}\right|$ is equal to

Complex Numbers and Quadratic Equations

Solution:

$E =\left|\frac{1+\left( z _1 / z _2\right)}{\left( z _1 / z _2\right)-1}\right|=\left|\frac{1+ x i}{ x i-1}\right|=1$