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

Answer: (D)

$a>c$ and $b=d=0$

It is given that
$z_1=a+ib$ and $z_2=c+id$
Now inequality can be applied to real numbers only.
Hence, $b$ and $d$ has to be $0$.
Hence, $b=d=0$.
Now, $z_1>z_2$ if $a>c$.
Thus $z_1>z_2$ is meaningful, if
$a>c$ and $b=d=0$.