Let \(z_1\) and \(z_2\) be complex numbers such that \(z_2/z_1\) is pure imaginary and \(2z_1\) is not equal to \(7z_2.\) Compute \(\left | (2z_1+7z_2)/(2z_1-7z_2)\right |\)
I'd appreciate any help, and thanks in advance.
The magnitude works out to 4/49.
