Let a,b,c be distinct complex numbers such that a/1-b = b/1-c= c/1-a= k.
Find the value of k,where k is a constant.

from  a/1-b = b / 1-c   we get                       b-b^2 = a - ac-----1

  similarly from the other 2 equations           a-a^2 = c - bc--------2
                                        
 we get                                                      c-c^2 = b - ab----------3