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Byju's Answer
Standard XII
Mathematics
Definition of Relations
Express R=x...
Question
Express
R
=
(
x
,
y
)
,
y
=
3
x
,
x
∈
(
1
,
2
,
3
)
and
y
∈
(
3
,
6
,
9
,
12
)
as a set of ordered pair.
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Solution
y
=
3
x
x
=
1
,
y
=
3
x
=
2
,
y
=
6
x
=
3
,
y
=
9
So the ordered pairs are
(
1
,
3
)
,
(
2
,
6
)
,
(
3
,
9
)
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Q.
Write the relations as sets of ordered pairs
{
(
x
,
y
)
:
y
=
3
x
,
x
∈
{
1
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2
,
3
}
,
y
∈
{
3
,
6
,
9
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12
}
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Express the relation {(x,y) : 3x + y = 10 ; x,y
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Express the relation {(x,y) : 3x + y = 10 ; x,y
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Write the following relations as sets of ordered pairs and find which of them are functions:
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(c) {(x, y) : x + y = 3, x, y, ∈ [0, 1, 2, 3]}
Q.
Let R be a relation in N defined by
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ϵ
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