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Byju's Answer
Standard XII
Mathematics
Domain
The domain of...
Question
The domain of definition of the function
y
=
325
197
[
√
x
2
−
1
√
x
−
1
]
A
(
1
,
∞
)
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B
[
1
,
∞
)
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C
Set of all real numbers
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D
(
−
∞
,
−
1
)
∪
(
1
,
∞
)
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Solution
The correct option is
A
(
1
,
∞
)
y
=
325
197
[
√
x
2
−
1
√
x
−
1
]
For y to be defined,
√
x
−
1
≠
0
x
≠
1
x
∈
R
−
{
1
}
−
(
i
)
x
−
1
>
0
x
>
1
x
∈
(
1
,
∞
)
−
(
i
i
)
x
2
−
1
>
0
x
2
>
1
x
∈
(
−
∞
,
−
1
)
∪
(
1
,
∞
)
−
(
i
i
i
)
All above the conditions must satisfy
x
∈
(
1
,
∞
)
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