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TS EAMCET 20-July-2022 Shift 1 Solved Paper
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© examsnet.com
Question : 11
Total: 160
The set of all real values of the expression
x
2
−
x
+
2
x
2
+
x
−
2
for all
x
∈
ℝ
−
{
−
2
,
1
}
is
(
−
2
,
3
)
[
7
9
,
∞
)
(
−
∞
,
−
1
]
∪
[
7
9
,
∞
)
(
−
∞
,
−
1
]
Validate
Solution:
👈: Video Solution
Let
y
=
x
2
−
x
+
2
x
2
+
x
−
2
;
∀
x
∈
R
−
{
−
2
,
1
}
⇒
y
x
2
+
y
x
−
2
y
=
x
2
−
x
+
2
⇒
(
y
−
1
)
x
2
+
(
y
+
1
)
x
−
2
(
y
+
1
)
=
0
For
x
∈
R
,
D
≥
0
⇒
(
y
+
1
)
2
−
4
(
y
−
1
)
[
−
2
(
y
+
1
)
]
≥
0
⇒
(
y
+
1
)
[
(
y
+
1
)
+
8
(
y
−
1
)
]
≥
0
∴
y
∈
(
−
∞
,
−
1
]
∪
[
7
9
,
∞
)
© examsnet.com
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