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Byju's Answer
Standard XII
Mathematics
Domain
A relation R ...
Question
A relation
R
from set
A
=
{
1
,
2
,
3
,
5
}
to
B
=
{
1
,
4
,
9
,
15
}
is defined as :
R
=
{
(
x
,
y
)
∈
R
:
x
=
√
y
}
,
then
A
Domain of
R
=
{
1
,
2
,
3
}
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B
Range of
R
=
{
1
,
4
,
9
,
15
}
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C
Domain of
R
=
{
1
,
2
,
3
,
5
}
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D
Range of
R
=
{
1
,
4
,
9
}
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Solution
The correct option is
D
Range of
R
=
{
1
,
4
,
9
}
A
=
{
1
,
2
,
3
,
5
}
,
B
=
{
1
,
4
,
9
,
15
}
R
=
{
(
1
,
1
)
,
(
2
,
4
)
,
(
3
,
9
)
}
Domain
=
{
1
,
2
,
3
}
Range
=
{
1
,
4
,
9
}
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0
Similar questions
Q.
A relation
R
from set
A
=
{
1
,
2
,
3
,
5
}
to
B
=
{
1
,
4
,
9
,
15
}
is defined as :
R
=
{
(
x
,
y
)
∈
R
:
x
=
√
y
}
,
then
Q.
A relation
R
from set
A
=
{
1
,
2
,
3
,
5
}
to
B
=
{
1
,
4
,
9
,
15
}
is defined as :
R
=
{
(
x
,
y
)
:
x
=
√
y
;
x
∈
A
,
y
∈
B
}
,
then which of the following option is correct ?
Q.
If
R
is the relation from set
A
=
{
1
,
3
,
4
,
5
}
to
B
=
{
1
,
5
}
defined as
R
=
{
(
x
,
y
)
∈
R
:
y
>
x
}
,
then
Q.
A relation
R
from set
A
=
{
1
,
2
,
3
,
5
}
to
B
=
{
1
,
4
,
9
,
15
}
is defined as :
R
=
{
(
x
,
y
)
∈
R
:
x
=
√
y
}
,
then
Q.
In the set
A
=
{
1
,
2
,
3
,
4
,
5
}
, a relation
R
is defined by
R
=
{
(
x
,
y
)
:
x
,
y
∈
A
and
x
<
y
}
. Then
R
is
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