For complex numbers z and w, prove that |z|^2 w - |w|^2 z = z - w, if and,only if z = w or z bar w = 1. - Sarthaks eConnect | Largest Online Education Community
How to prove that: if z and w are two complex numbers, then u = (z - w) / (1 -zw) is a real number - Quora
![Let a complex number be w=1 √3i. Let another complex numberz be such that | zw|=1 and argz arg w=π/2 Then the area of the triangle with vertices origin, z and wis equal Let a complex number be w=1 √3i. Let another complex numberz be such that | zw|=1 and argz arg w=π/2 Then the area of the triangle with vertices origin, z and wis equal](https://byjus-answer-creation.s3.amazonaws.com/uploads/image.png_img_upload_solution_2022-06-06%2008:11:13.946919.png)