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Question
Mathematics
Let A 1,2,3,4,5 . Find the domain in the relation from A to A by R= (x,y):y=2x-1 .
Q. Let
A
{
1
,
2
,
3
,
4
,
5
}
.
Find the domain in the relation from
A
to
A
by
R
=
{(
x
,
y
)
:
y
=
2
x
−
1
}
.
1964
204
J & K CET
J & K CET 2014
Relations and Functions
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A
{
1
,
2
,
3
}
48%
B
{
1
,
2
}
15%
C
{
1
,
3
,
5
}
30%
D
{
2
,
4
}
6%
Solution:
Given,
A
=
{
1
,
2
,
3
,
4
,
5
,
}
R
:
A
→
A
and
R
=
{(
x
,
y
)
:
y
=
2
x
−
1
}
∴
R
=
{
1
,
1
)
,
(
2
,
3
)
,
(
3.5
)}
Hence, domain of
R
=
{
1
,
2
,
3
}