Let \(z_1,z_2,z_3\) be 3 complex numbers lying on a circle whose centre is at the origin such that \(z_i+z_{j}z_k\) (where \(i,j,k\in \{1,2,3\}\) and \(i \ne j \ne k\)) are real numbers, then find \(z_1\times z_2\times z_3\).

**Note**

- \(z_1\ne z_2\ne z_3\). In other words, \(z_1,z_2,z_3\) are all distinct points on the circle.

*This question is a submission for Problem Writing Party. To participate Click Here! Hurry up, the last date for submission is \(18^{th}\) May, 2016*

×

Problem Loading...

Note Loading...

Set Loading...