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Byju's Answer
Standard XII
Mathematics
Domain
If R= 1,-1,...
Question
If
R
=
{
(
1
,
−
1
)
,
(
2
,
−
2
)
,
(
3
,
−
1
)
}
is relation, then find the range of R.
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Solution
Range :- Set of y-coordinates
From given
R
=
{
(
1
,
−
1
)
,
(
2
,
−
2
)
,
(
3
,
−
1
)
}
∴
Range
=
{
−
1
,
−
2
,
−
1
}
.
Domain :- Set of x-coordinates
∴
Domain
=
(
1
,
2
,
3
)
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Similar questions
Q.
Let
R
=
{
(
1
,
1
)
,
(
2
,
2
)
,
(
3
,
3
)
,
(
1
,
2
)
,
(
2
,
3
)
,
(
1
,
3
)
}
be a relation on the set
A
=
{
1
,
2
,
3
}
.
Then the relation
R
is
[1 mark]
Q.
Let
A
=
{
x
:
x
∈
Z
,
|
x
|
≤
3
}
and
B
=
{
y
;
y
∈
N
,
−
1
<
y
+
2
≤
4
}
. If
R
be the relation from
A
to
B
, then
Q.
The relation R defined in A = defined in A = {1, 2, 3} by aRb, if
|
a
2
−
b
2
|
≤
5
. Which of the following is false?
Q.
If the relation
R
:
A
→
B
, where
A
=
{
1
,
2
,
3
,
4
}
and
B
=
{
1
,
3
,
5
}
, is defined as
R
=
{
(
x
,
y
)
:
x
<
y
for
x
∈
A
,
y
∈
B
}
, then which of the following is CORRECT?
Q.
Given the relation R= {(1,2), (2,3) } on the set {1, 2, 3}, the minimum number of ordered pairs which when added to R make it an equivalence relation is
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