29
State true or false for the following.
The locus represented by $|z-1|=|z-i|$ is a line perpendicular to the join of the points $(1,0)$ and $(0,1)$.
A
TRUE
B
FALSE
30
State true or false for the following.
If $z$ is a complex number such that $z \neq 0$ and $\operatorname{Re}(z)=0$, then, $\operatorname{Im}\left(z^2\right)=0$.
A
TRUE
B
FALSE
31
State true or false for the following.
The inequality $|z-4|<|z-2|$ represents the region given by $x>3$.
A
TRUE
B
FALSE
32
State true or false for the following.
Let $z_1$ and $z_2$ be two complex numbers such that $\left|z_1+z_2\right|=\left|z_1\right|+\left|z_2\right|$, then $\arg \left(z_1-z_2\right)=0$.
A
TRUE
B
FALSE
33
State true or false for the following.
2 is not a complex number.
A
TRUE
B
FALSE