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AP EAPCET 07-Jul-2022 Shift 2 Paper
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© examsnet.com
Question : 1
Total: 160
Let
f
:
R
→
R
be defined by
f
(
x
)
=
2
x
+
3
. If
α
.
β
are the roots of the equation
f
(
x
2
)
−
2
f
(
x
2
)
−
1
=
0
then
α
2
+
β
2
=
13
25
5
18
Validate
Solution:
👈: Video Solution
f
(
x
)
=
2
x
+
3
f
(
x
2
)
−
2
f
(
x
2
)
−
1
=
0
⇒
2
x
2
+
3
−
2
(
x
+
3
)
−
1
=
0
⇒
2
x
2
−
2
x
−
4
=
0
⇒
x
2
−
x
−
2
=
0
⇒
x
=
2
or
x
=
−
1
∴
α
2
+
β
2
=
4
+
1
=
5
© examsnet.com
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