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Standard IV
Mathematics
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Is null set i...
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Is null set is also symmetric relation?
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Q.
Universal relation defined on a set A is Symmetric
Q.
Every relation which is symmetric and transitive is also reflexive.
Q.
A relation R on a set A is a symmetric relation if __________.
Q.
Assertion :The relation
R
given by
R
=
{
(
1
,
3
)
,
(
4
,
2
)
,
(
2
,
4
)
,
(
2
,
3
)
,
(
3
,
1
)
}
on a set
A
=
{
1
,
2
,
3
,
4
}
is not symmetric. Reason: For symmetric relation
R
=
R
−
1
.
Q.
If
R
is an equivalence relation on a set
A
, then
R
−
1
is
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