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Test Index
TS EAMCET 20-July-2022 Shift 2 Solved Paper
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Section:
Mathematics
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© examsnet.com
Question : 1
Total: 160
If
[
x
]
represents the greatest integer function, then the set of all real values of
x
for which
f
(
x
)
=
√
[
x
]
−
x
x
−
[
x
]
is real is
φ
ℝ
3
ℝ
−
ℤ
Validate
Solution:
f
(
x
)
=
√
[
x
]
−
x
x
−
[
x
]
χ
∉
I
:
[
∵
for
x
∈
I
, function is indeterminate form] For
x
∈
non integer values, wie have
f
(
x
)
=
√
−
(
x
−
[
x
]
)
x
−
[
x
]
=
√
−
1
.
For
x
∈
non integer values,
f
(
x
)
is not real. Therefore,
x
∈
φ
.
© examsnet.com
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