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Mathematics
Mathematics
Problem
If the function
f
(
x
)
=
2
x
3
−
9
a
x
2
+
12
a
2
x
+
1
f(x) = 2x^3 - 9ax^2 + 12a^2x + 1
f
(
x
)
=
2
x
3
−
9
a
x
2
+
12
a
2
x
+
1
, where
a
>
0
a > 0
a
>
0
, attains its local maximum and local minimum values at
p
p
p
and
q
q
q
, respectively, such that
p
2
=
q
p^2 = q
p
2
=
q
, then
f
(
3
)
f(3)
f
(
3
)
is equal to : (A) 55 (B) 10 (C) 23 (D) 37
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