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UPSC NDA 2 2016 Mathematics Solved Paper
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© examsnet.com
Question : 13
Total: 120
Let R be a relation from
A
=
{
1
,
2
,
3
,
4
}
to
B
=
{
1
,
3
,
5
}
such that
R
=
[
(
a
,
b
)
:
a
<
b
, where
a
∊
A
and
b
∊
B
]
What is
R
o
R
−
1
equal to ?
[NDA II 2016]
{
(
1
,
3
)
,
(
1
,
5
)
,
(
2
,
3
)
,
(
2
,
5
)
,
(
3
,
5
)
,
(
4
,
5
)
}
{
(
3
,
1
)
,
(
5
,
1
)
,
(
3
,
2
)
,
(
5
,
2
)
,
(
5
,
3
)
,
(
5
,
4
)
}
{
(
3
,
3
)
,
(
3
,
5
)
,
(
5
,
3
)
,
(
5
,
5
)
}
{
(
3
,
3
)
,
(
3
,
4
)
,
(
4
,
5
)
}
Validate
Solution:
R
=
{
(
1
,
3
)
,
(
1
,
5
)
,
(
2
,
3
)
,
(
2
,
5
)
,
(
3
,
5
)
,
(
4
,
5
)
}
⇒
R
−
1
=
{
(
3
,
1
)
,
(
5
,
1
)
,
(
3
,
2
)
,
(
5
,
2
)
,
(
5
,
3
)
,
(
5
,
4
)
}
⇒
R
o
R
−
1
=
{
(
3
,
3
)
,
(
3
,
5
)
,
(
5
,
3
)
,
(
5
,
5
)
}
© examsnet.com
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