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Byju's Answer
Standard XII
Mathematics
Symmetric Relations
Let A =1,2,...
Question
Let
A
=
{
1
,
2
,
3
}
and
R
=
{
(
2
,
2
)
,
(
3
,
1
)
,
(
1
,
3
)
}
then the relation
R
on
A
is
A
reflexive
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B
symmetric
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C
transitive
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D
None of these
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Solution
The correct option is
B
symmetric
Symmetric relation means
if
(
a
,
b
)
∈
R
then
(
b
,
a
)
∈
R
Here
R
on
A
to
A
=
{
(
2
,
2
)
,
(
3
,
1
)
,
(
1
,
3
)
}
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Similar questions
Q.
Let
A
=
{
1
,
2
,
3
}
and
R
=
{
(
2
,
2
)
,
(
3
,
1
)
,
(
1
,
3
)
}
then the relation R on A is:
Q.
Let
A
=
{
1
,
2
,
3
}
and let
R
=
A
×
A
then what is the relation
R
on
A
.
Q.
Let
A
=
{
1
,
2
,
3
}
and
R
=
{
(
1
,
1
)
,
(
1
,
3
)
,
(
3
,
1
)
,
(
2
,
2
)
,
(
2
,
1
)
,
(
3
,
3
)
}
then the relation R on A is:
Q.
Let
A
=
{
1
,
2
,
3
}
and
R
=
{
(
1
,
3
)
,
(
3
,
3
)
}
then the relation R on A is:
Q.
Let
A
=
{
1
,
2
,
3
}
and
R
=
{
(
1
,
1
)
,
(
2
,
2
)
,
(
1
,
2
)
,
(
2
,
1
)
,
(
1
,
3
)
,
(
3
,
1
)
}
be a relation on A, then R is:
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