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Mathematics
Problem
Match the conditions / expressions in Column I with statement in Column II (
z
≠
0
z \neq 0
z
=
0
is a complex number).
Column I
Column II
(A)
Re
(
z
)
=
0
\operatorname{Re}(z) = 0
Re
(
z
)
=
0
1.
Re
(
z
2
)
=
0
\operatorname{Re}(z^2) = 0
Re
(
z
2
)
=
0
(B)
arg
(
z
)
=
π
/
4
\arg(z) = \pi/4
ar
g
(
z
)
=
π
/4
2.
Im
(
z
2
)
=
0
\operatorname{Im}(z^2) = 0
Im
(
z
2
)
=
0
3.
Re
(
z
2
)
=
Im
(
z
2
)
\operatorname{Re}(z^2) = \operatorname{Im}(z^2)
Re
(
z
2
)
=
Im
(
z
2
)
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