What is the locus of `w` if `w=3/za n d|z-1|=1?`

What is the locus of w if w=(3)/(z) and |z-1|=1?

If |z|=1 and let omega=((1-z)^(2))/(1-z^(2)), then prove that the locus of omega is equivalent to |z-2|=|z+2|

If |z|=1 and let omega=((1-z)^2)/(1-z^2) , then prove that the locus of omega is equivalent to |z-2|=|z+2|

If |z|=1 and let omega=((1-z)^2)/(1-z^2) , then prove that the locus of omega is equivalent to |z-2|=|z+2|

If |z|=1 and let omega=((1-z)^2)/(1-z^2) , then prove that the locus of omega is equivalent to |z-2|=|z+2|

If w=(z)/(z-((1)/(3))i) and |w|=1, then find the locus of z and |w|=1, then find the

Find the locus of z if omega= (z)/(z- (1)/(3)i), |omega| =1

If omega is a complex number such that |omega|=r!=1 , and z=omega+1/omega , then locus of z is a conic. The distance between the foci of conic is 2 (b) 2(sqrt(2)-1) (c) 3 (d) 4

In Figure, if l_1||l_2 , what is x+y in terms of w\ a n d\ z ? (a) 180-w+z (b) 180+w-z 180-w-z (d) 180+w+z

The locus of the point w=Re(z)+(1)/(z) where |z|=3 ,in complex plane is :