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Byju's Answer
Standard XIII
Mathematics
Inequality
Let y= √x+1 ...
Question
Let
y
=
√
(
x
+
1
)
(
x
−
3
)
(
x
−
2
)
. If
y
takes real values, then
x
can lie in
A
(
2
,
∞
)
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B
[
−
1
,
3
]
−
{
2
}
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C
[
−
1
,
2
)
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D
[
3
,
∞
)
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Solution
The correct option is
D
[
3
,
∞
)
y
=
√
(
x
+
1
)
(
x
−
3
)
(
x
−
2
)
will be real if
(
x
+
1
)
(
x
−
3
)
x
−
2
≥
0
Hence from above number line
x
∈
[
−
1
,
2
)
∪
[
3
,
∞
)
Suggest Corrections
0
Similar questions
Q.
Let
y
=
√
(
x
+
1
)
(
x
−
3
)
(
x
−
2
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. If
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takes real values, then
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can lie in
Q.
Let
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Q.
(a) Let
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x
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x
−
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.
Find all the real values of x for which y takes real values.
(b) Determine all real values of x for which the expression
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−
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+
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−
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−
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y
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where
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