1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Properties of Conjugate of a Complex Number
z1=4-3i, z2=-...
Question
z
1
=
4
−
3
i
,
z
2
=
−
1
+
2
i
then
(
z
1
+
z
2
)
(
¯
¯¯¯
¯
z
1
+
¯
¯¯¯
¯
z
2
)
=
A
8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
10
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
10
z
=
(
z
1
+
z
2
)
=
(
4
−
3
i
)
+
(
−
1
+
2
i
)
=
(
3
−
i
)
(
¯
z
1
+
¯
z
2
)
=
4
+
3
i
+
−
1
−
2
i
=
3
+
i
=
¯
z
∴
z
×
¯
z
=
|
z
|
2
=
(
√
9
+
1
)
2
=
10
Suggest Corrections
0
Similar questions
Q.
For two unimodular complex numbers
z
1
and
z
2
,
[
¯
¯¯¯
¯
z
1
−
z
2
¯
¯¯¯
¯
z
2
z
1
]
−
1
[
z
1
z
2
−
¯
¯¯¯
¯
z
2
¯
¯¯¯
¯
z
1
]
−
1
is equal to
Q.
If
z
1
=
1
+
2
i
,
z
2
=
2
+
3
i
,
z
3
=
3
+
4
i
, then
z
1
,
z
2
and
z
3
are collinear.
Q.
If
z
1
=
1
+
2
i
,
z
2
=
2
+
3
i
,
z
3
=
3
+
4
i
,
then
z
1
,
z
2
and
z
3
represent the vertices of
Q.
If
z
1
=
1
+
√
3
i
,
z
2
=
1
−
√
3
i
,
then
z
100
1
+
z
100
2
z
1
+
z
2
=
Q.
State True and False
If
z
1
=
1
+
2
i
,
z
2
=
2
+
3
i
,
z
3
=
3
+
4
i
,
then
z
1
,
z
2
and
z
3
are collinear.
Type 1 for true and 0 for false
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Properties of Conjugate of a Complex Number
MATHEMATICS
Watch in App
Explore more
Properties of Conjugate of a Complex Number
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app