Re: HSC 2013 4U Marathon
Let x= z+iy and its conjugate be x-iy.
After multiplying by the conjuagtes of each fraction, combine the two to get 2x/(x^2+y^2)= 1
Hence 2x = x^2 + y^2.
Moving the 2x over and completing the square: (x-1)^2 + y^2 =1 with (0,0) excluded from the locus as it would...