Let $z_1 = 6 + i$ and $z_2 = 4 -3i$. Let $z$ be a complex number such that $arg\ \left( {\frac{{z - {z_1}}}{{{z_2} - z}}} \right) = \frac{\pi }{2}$, then $z$ satisfies -
$|z -(5 -i)| = 5$
$|z -(5 -i)| = \sqrt 5 $
$|z -(5 + i)| = 5$
$|z -(5 + i)| = \sqrt 5 $
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:-
The conjugate of $\frac{{{{(2 + i)}^2}}}{{3 + i}},$ in the form of $a + ib$, is
$arg\,(5 - \sqrt 3 i) = $
The amplitude of $0$ is
Argument of $ - 1 - i\sqrt 3 $ is