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

(a) straight line\[\](b) circle\[\](c) parabola\[\](d) hyperbola
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Answer : straight line
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 .
answered Apr 19, 2014 by yamini.v
 

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