Question

$z_1=a+ib$ and $z_2=c+id$ are two complex numbers then $z_1>z_2$ is meaningful if

• A. $a>c$ and $b>d$
• B. $a+c>b+d$
• C. $a=c=0$ and $b>d$
• D. $a>c$ and $b=d=0$

Answer 1

The correct option is D $a>c$ and $b=d=0$

Comparison of two complex numbers is only possible when the imaginary parts are zero.
Now,
$z_1>z_2\Rightarrow a+ib>c+id$ is meaningful if $b=d=0$ and $a>c$.