What is the locus of `w` if `w=3/za n d|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 w=(z)/(z-((1)/(3))i) and |w|=1, then find the locus of z and |w|=1, then find the

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

Read the following writeup carefully: If z_1 = a+ib and z_2 =c + id be two complex numbers such that |z_1| = |z_2|=1 and "Re" (z_1 bar(z_2))=0 . Now answer the following question Let W = a+ic , then the locus of |(W+1)/(W-1)|=1 is (where W ne 1 )

In Figure,if l_(1)l_(2), what is x+y in terms of w and z?180-w+z (b) 180+w-z180-w-z(d)180+w+z

If omega ne 1 is a cube root of unity and |z-1|^(2) + 2|z-omega|^(2) = 3|z - omega^(2)|^(2) then z lies on

X is the husband of Y. W is the daughter of X. Z is husband of W. N is the daughter of Z. What is the relationship of N to Y?

Consider a complex number z=(2w+1)/(iw+1) where w=x+iy if I_(m)(z)=-2 then the locus of omega is a straight line.Find the x- intercept of the line