If z=x+i y , then the equation |z+1|=|z-1| represents

Step-by-step solution

Given, gathered z=x+i y |z+1|=|z-1| |z+1|²=|z-1|² |x+i y+1|²=|x+i y-1|² (x+1)²+y²=(x-1)²+y² (x+1)²-(x-1)²=0 (x+1-x+1)(x+1+x-1)=0 x=0 |z+1|=|z-1| represents Y -axis. gathered