Number of complex numbers satisfying `z^3 = barz` is

The number of complex numbers z satisfying |z-3-i|=|z-9-i|a n d|z-3+3i|=3 are a. one b. two c. four d. none of these

The number of complex numbers z satisfying |z-3-i|=|z-9-i|a n d|z-3+3i|=3 are a. one b. two c. four d. none of these

Find all non zero complex numbers z satisfying barz=iz^2

Number of imaginary complex numbers satisfying the equation, z^2=bar(z)2^(1-|z|) is

Find the non-zero complex numbers z satisfying barz =i z^2dot

Find the non-zero complex number z satisfying z =i z^2dot

Modulus of non zero complex number z satisfying barz +z=0 and |z|^2-4z i=z^2 is _________.

Let z be a complex number satisfying |z| = 3 |z-1| . Then prove that |z-(9)/(8)| = (3)/(8)

Let omega be the complex number cos((2pi)/3)+isin((2pi)/3) . Then the number of distinct complex cos numbers z satisfying Delta=|(z+1,omega,omega^2),(omega,z+omega^2,1),(omega^2,1,z+omega)|=0 is

Let omega be the complex number cos((2pi)/3)+isin((2pi)/3) . Then the number of distinct complex cos numbers z satisfying Delta=|(z+1,omega,omega^2),(omega,z+omega^2,1),(omega^2,1,z+omega)|=0 is