If `|z-1|=1,` where is a point on the argand plane, show that`(z-2)/(z)=i tan (argz),where i=sqrt(-1).`

If |z-1|=1, where z is a point on the argand plane, show that (z-2)/(z)=i tan (argz),where i=sqrt(-1).

If |z-1|=1, where z is a point on the argand plane, show that (z-2)/(z)=i tan (argz),where i=sqrt(-1).

If |z-1|=1, where is a point on the argand plane, show that |(z-2)/(z)|= tan (argz), where i=sqrt(-1).

Given that |z-1|=1, where z is a point on the argand planne , show that (z-2)/(z)=itan (arg z), where i=sqrt(-1).

Given that |z-1|=1, where z is a point on the argand planne , show that (z-2)/(z)=itan (arg z), where i=sqrt(-1).

If arg z = alpha and given that |z-1|=1, where z is a point on the argand plane , show that |(z-2)/z| = |tan alpha |,

If arg z = alpha and given that |z-1|=1, where z is a point on the argand plane , show that |(z-2)/z| = |tan alpha |,

Given that,|z-1|=1, where 'z' is a point on the argand plane.(z-2)/(2z)=alpha tan(arg z) Then determine (1)/(alpha^(4))

Read the following writeup carefully: In argand plane |z| represent the distance of a point z from the origin. In general |z_1-z_2| represent the distance between two points z_1 and z_2 . Also for a general moving point z in argand plane, if arg(z) =theta , then z=|z|e^(itheta) , where e^(itheta) = cos theta + i sintheta . Now answer the following question If |z-(3+2i)|=|z cos ((pi)/(4) - "arg" z)|, then locus of z is

If Z=1+i , where i=sqrt(-1) , then what is the modulus of Z+(2)/(Z) ?