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Byju's Answer
Standard X
Biology
DNA
Let A={ ...
Question
Let
A
=
{
2
,
4
,
6
,
8
}
. A relation
R
on
A
is defined by
R
=
(
2
,
4
)
,
(
4
,
2
)
,
(
4
,
6
)
,
(
6
,
4
)
. Then
R
is:
A
a
n
t
i
−
s
y
m
m
e
t
r
i
c
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B
r
e
f
l
e
x
i
v
e
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C
s
y
m
m
e
t
r
i
c
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D
t
r
a
n
s
i
t
i
v
e
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Similar questions
Q.
Let A = {0, 1, 2, 3} and R be a relation on A defined as
R = {(0, 0), (0, 1), (0, 3), (1, 0), (1, 1), (2, 2), (3, 0), (3, 3)}
Is R reflexive? symmetric? transitive?
Q.
Let R be the relation on the set A = {1, 2, 3, 4} given by
R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)}. Then,
(a) R is reflexive and symmetric but not transitive
(b) R is reflexive and transitive but not symmetric
(c) R is symmetric and transitive but not reflexive
(d) R is an equivalence relation
Q.
Check whether the relation R on R defined by R = {(a, b) : a ≤ b
3
} is reflexive, symmetric or transitive.
Q.
Let
R
be the relation on the set
R
of all real numbers defined by
a
R
b
iff
|
a
−
b
|
≤
1.
Then
R
is
Q.
Let R be the relation on the set of all real numbers defined by a R b iff
|
a
−
b
|
≤
1
. Then R is
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