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Question
Mathematics
Let A =(1,2,3). We define R 1= (1,2),(3,2),(1,3) R 2= (1,3),(3,6),(2,1),(1,2) . Then, the relation on A
Q. Let
A
=
(
1
,
2
,
3
)
. We define
R
1
=
{(
1
,
2
)
,
(
3
,
2
)
,
(
1
,
3
)}
R
2
=
{(
1
,
3
)
,
(
3
,
6
)
,
(
2
,
1
)
,
(
1
,
2
)}
.
Then, the relation on
A
1826
231
Relations and Functions - Part 2
Report Error
A
R
1
is relation and
R
2
is not
51%
B
R
1
and
R
2
are both is relation
23%
C
R
1
and
R
2
2
are both non-relation
15%
D
None of these
11%
Solution:
R
1
⊆
A
×
A
.
So ,
R
1
is a relation on
A
.
But
(
3
,
6
)
∈
A
×
A, so
R
2
⊆
A
×
A
and
hence
R
2
is not a relation on
A
.
Hence, (a) is the correct answer.