where does z lie , if `|(z-5i)/(z+5i)|=1?`

The complex numbers z = x + iy which satisfy the equation |(z-5i)/(z+5i)|=1 , lie on

The complex numbers z=x+iy which satisfy the equation |(z-5i)/(z+5i)|=1 lie on (a) The x-axis (b) The straight line y=5(c)A circle passing through the origin (d) Non of these

The greatest and least value of |z| if z satisfies |z-5+5i|<=5 are

The locus of any point P(z) on argand plane is arg((z-5i)/(z+5i))=(pi)/(4) . Then the length of the arc described by the locus of P(z) is

Let z be a complex number satisfying |z-5i|<=1 such that amp(z) is minimum, then z is equal to

Let Z_(1),Z_(2) be two complex numbers which satisfy |z-i| = 2 and |(z-lambda i)/(z+lambda i)|=1 where lambda in R, then |z_(1)-z_(2)| is

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).