Max Min Determinant Values (Jee Mains) | ExamDuo
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Determinants
Hard
Max Min Determinant Values
Let
f
(
x
)
=
|
1
+
s
i
n
2
x
cos
2
x
s
i
n
2
x
s
i
n
2
x
1
+
cos
2
x
s
i
n
2
x
s
i
n
2
x
cos
2
x
1
+
s
i
n
2
x
|
,
x
∈
[
π
6
,
π
3
]
. If
α
a
β
respectively are the maximum and the minimum values of
f
, then
Ask about this question
SELECT ONE OPTION
A
β
2
−
2
√
α
=
19
4
B
β
2
+
2
√
α
=
19
4
C
α
2
−
β
2
=
4
√
3
D
α
2
+
β
2
=
9
2
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