26
State true or false for the following.
The order relation is defined on the set of complex numbers.
A
TRUE
B
FALSE
27
State true or false for the following.
Multiplication of a non-zero complex number by $-i$ rotates the point about origin through a right angle in the anti-clockwise direction.
A
TRUE
B
FALSE
28
State true or false for the following.
For any complex number $z$, the minimum value of $|z|+|z-1|$ is 1 .
A
TRUE
B
FALSE
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