Modulus of $\left( {\frac{{3 + 2i}}{{3 - 2i}}} \right)$ is
$1$
$1/2$
$2$
$\sqrt 2 $
If $z = 1 - \cos \alpha + i\sin \alpha $, then $amp \ z$=
If the conjugate of $(x + iy)(1 - 2i)$ be $1 + i$, then
If $|z_1| = 2 , |z_2| =3 , |z_3| = 4$ and $|2z_1 +3z_2 +4z_3| =9$ ,then value of $|8z_2z_3 +27z_3z_1 +64z_1z_2|$ is equal to:-
Let $z$ satisfy $\left| z \right| = 1$ and $z = 1 - \vec z$.
Statement $1$ : $z$ is a real number
Statement $2$ : Principal argument of $z$ is $\frac{\pi }{3}$
The value of $|z - 5|$if $z = x + iy$, is