1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Special Integrals - 2
If z1 and z2 ...
Question
If z
1
and z
2
are two complex numbers such that z
1
+ z
2
is a real number, then z
2
= ____________.
Open in App
Solution
Given for two complex numbers, z
1
and z
2
, we have z
1
+ z
2
is real number
Let
z
1
=
x
1
+
i
y
1
z
2
=
x
2
+
i
y
2
⇒
z
1
+
z
2
=
x
1
+
i
y
1
+
x
2
+
i
y
2
i
.
e
z
1
+
z
2
=
x
1
+
x
2
+
i
y
1
+
y
2
Since
z
1
+
z
2
is
real
⇒
y
1
+
y
2
=
0
i
.
e
y
1
=
-
y
2
i
.
e
z
2
=
x
2
+
i
y
2
=
x
2
-
i
y
1
Suggest Corrections
0
Similar questions
Q.
If
z
1
and
z
2
are complex numbers, such that
z
1
+
z
2
is a real number, then
Q.
Let
z
1
,
z
2
two complex numbers such that
z
1
+
z
2
and
z
1
z
2
both are real, then
Q.
z
1
,
z
2
are two non-real complex numbers such that
z
1
z
2
+
z
2
z
1
=
1
. Then
z
1
,
z
2
and the origin
Q.
If
z
1
and
z
2
are two complex numbers such that
z
1
≠
z
2
and
|
z
1
|
=
|
z
2
|
, then
z
1
+
z
2
z
1
−
z
2
may be
Q.
If
z
1
and
z
2
are two complex numbers such that
|
z
1
|
=
|
z
2
|
+
|
z
1
−
z
2
|
, then
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
Special Integrals - 2
MATHEMATICS
Watch in App
Explore more
Special Integrals - 2
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