Locus of `z` in the argand plane if `z` satisfies the condition `cot^-1(log_3(|2z+1|)) > cot^-1(log_3(|2z+1|))` is :-

The locus of the points z satisfying the condition arg ((z-1)/(z+1))=pi/3 is, a

The locus of the points z satisfying the condition arg ((z-1)/(z+1))=pi/3 is, a

Find the region on the Argand plane on which z satisfies 1lt|z-2i|lt3

The locus of a point on the argand plane represented by the complex number z, when z satisfies the condition |{:(z-1+i)/(z+1-i):}|=|Re((z-1+i)/(z+1-i))| is