1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Definition of Relations
Let R = a,a...
Question
Let
R
=
{
(
a
,
a
)
}
be a relation on a set
A
.
Then
R
is
A
Symmetric
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Antisymmetric
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Symmetric and Antisymmetric
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Neither symmetric nor Antisymmetric
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
Antisymmetric
A relation is said to be antisymmetric if
(
a
,
b
)
∈
R
and
(
b
,
a
)
∈
R
⇒
a
=
b
Suggest Corrections
0
Similar questions
Q.
Let R = {(a, a), (b, b), (c, c), (a, b)} be a relation on set A = a, b, c. Then, R is
(a) identify relation
(b) reflexive
(c) symmetric
(d) antisymmetric
Q.
Let
R
be a symmetric and transitive relation on a set
A
. Then
Q.
Let
R
=
{
(
3
,
3
)
,
(
6
,
6
)
,
(
9
,
9
)
,
(
12
,
12
)
,
(
6
,
12
)
,
(
3
,
9
)
,
(
3
,
12
)
,
(
3
,
6
)
}
be a relation on the set
A
=
{
3
,
6
,
9
,
12
}
.
Then the relation is
Q.
S is a relation over the set R of all real numbers and it is given by
(a, b) ∈ S ⇔ ab ≥ 0. Then, S is
(a) symmetric and transitive only
(b) reflexive and symmetric only
(c) antisymmetric relation
(d) an equivalence relation
Q.
Let
R
be a relation defined on
N
as
R
=
{
(
x
,
y
)
|
x
,
y
∈
N
,
2
x
+
y
=
41
}
.
Then
R
is
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
Adaptive Q9
MATHEMATICS
Watch in App
Explore more
Definition of Relations
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