If |z-1| = 2 then the locus of z is

Match the following {:(I.,"If |z-3+i|=4 then the locus of z is ","a)"x^2+y^2-6x+2y-6=0),(II.,"If |z-1|=2|z-3|then the locus of z is","b)"3x^2+3y^2-22x+35=0),(III.,"If |z-i|=|z+i|then the locus of z is","c)"y=0),(IV.,"If "|z-1|^2+|z+1|^2=4"then the locus of z is","d)"x^2+y^2=1):}

If |z-1|=|z-3| then the locus of z is

If |z| = 2 and the locus of 5z-1 is the circle having radius 'a' and z_1^2 + z_2^2 - 2 z_1 z_2 cos theta = 0 then |z_1| : |z_2| =

Find the correct staements in the following? If P represents the complex number z and if |2z-1|=2|z| then the locus of z .

If a complex number z satisfies |z|^(2)+1=|z^(2)-1| , then the locus of z is

If log_(sqrt3) ((|z|^(2)-|z|+1)/(2+|z|)) gt 2 , then the locus of z is

If |(z-1)/(z-3)| = 2 then the locus of z = x +iy is

If |z-1| gt2|z-2| then the locus of z = x + iy is

If Arg((z-1)/(z+1))= pi/2 then the locus of z is ) circle with radius 2 2) circle with radius 1 3) straight line 4) pair of lines