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Mathematics
Problem
Passage - 3 (Questions 67 to 69) Consider,
f
(
x
)
=
cos
2
x
+
2
x
λ
2
+
(
2
λ
+
1
)
(
λ
−
1
)
x
2
f(x)=\cos 2x+2x\lambda^2+(2\lambda+1)(\lambda-1)x^2
f
(
x
)
=
cos
2
x
+
2
x
λ
2
+
(
2
λ
+
1
)
(
λ
−
1
)
x
2
,
λ
∈
R
\lambda\in R
λ
∈
R
. For
λ
=
1
\lambda=1
λ
=
1
, if
f
(
3
x
2
−
2
x
+
1
)
<
f
(
x
2
−
2
x
+
9
)
f(3x^2-2x+1)<f(x^2-2x+9)
f
(
3
x
2
−
2
x
+
1
)
<
f
(
x
2
−
2
x
+
9
)
then number of integral values of
x
x
x
in
[
−
10
,
10
]
[-10,10]
[
−
10
,
10
]
(a) 3 (b) 5 (c) 16 (d) 18
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