If $z = 3 + 5i,\,\,{\rm{then }}\,{z^3} + \bar z + 198 = $
$ - 3 - 5i$
$ - 3 + 5i$
$3 + 5i$
$3 - 5i$
If $z$ is a complex number, then the minimum value of $|z| + |z - 1|$ is
If ${(\sqrt 8 + i)^{50}} = {3^{49}}(a + ib)$ then ${a^2} + {b^2}$ is
If complex numbers $(x -2y) + i(3x -y)$ and $(2x -y) + i(x -y + 6)$ are conjugates of each other, then $|x + iy|$ is $(x,y \in R)$
Find the conjugate of $\frac{(3-2 i)(2+3 i)}{(1+2 i)(2-i)}$.
If $|z_1|=1, \, |z_2| =2, \,|z_3|=3$ and $|9z_1z_2 + 4z_1z_3+z_2z_3| =12$ then the value of $|z_1+z_2+z_3|$ is equal to :-