Browse Questions

# The equation $\;|z+1-i|=|z-1+i|\;$ represents a

(a) straight line(b) circle(c) parabola(d) hyperbola

Explanation :
$\;|z+1-i|=|z-1+i|\;$
$|z-(-1+i)|=|z-(1-i)|$
PA=PA , where A denotes the point (-1,1) , B denotes the point (1,-1) and P denotes the point (x,y)
z lies on the perpendicular bisector of the line joining A and B and perpendicular bisector is a straight line .