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Byju's Answer
Standard XII
Mathematics
Complex Plane
If z1 and z2 ...
Question
If
z
1
and
z
2
be two complex number, then Re
(
z
1
z
2
)
=
A
Re
(
z
1
)
.
R
e
(
z
2
)
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B
Re
(
z
1
)
.
I
m
(
z
2
)
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C
Im
(
z
1
)
.
R
e
(
z
2
)
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D
None of these
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Solution
The correct option is
D
None of these
If
z
1
and
z
2
be two complex number then
R
e
(
z
1
z
2
)
=
R
e
(
z
1
)
R
e
(
z
2
)
−
I
m
(
z
1
)
I
m
(
z
2
)
Suggest Corrections
0
Similar questions
Q.
If
z
1
and
z
2
be two complex number, then Re
(
z
1
z
2
)
=
Q.
If
z
1
,
z
2
are two complex numbers such that
|
z
1
|
=
|
z
2
|
=
2
and
arg
z
1
+
arg
z
2
=
0
then
z
1
z
2
=
Q.
If
z
1
,
z
2
are two complex numbers such that
|
z
1
|
=
|
z
2
|
=
2
and
arg
z
1
+
arg
z
2
=
0
, then
z
1
z
2
=
Q.
If
z
1
and
z
2
are two complex numbers such that
|
z
1
|
<
1
<
|
z
2
|
, then show that
∣
∣
∣
(
1
−
z
1
¯
¯
¯
z
2
)
(
z
1
−
z
2
)
∣
∣
∣
<
1
.
Q.
If
Z
1
,
Z
2
are two complex numbers satisfying
∣
∣ ∣
∣
Z
1
−
3
Z
2
3
−
Z
1
¯
¯¯¯¯
¯
Z
2
∣
∣ ∣
∣
=
1
,
|
Z
1
|
≠
3
, then
|
Z
2
|
i
s
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