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JEEMAIN-2014
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Q)
Let for
i
=
1
,
2
,
3
,
p
i
x
be a polynomial of degree 2 in
x
,
p
′
i
x
,
p
″
i
x
be the first and second order derivatives of
p
i
x
respectively . Let ,
A
(
x
)
=
[
p
1
(
x
)
p
′
1
(
x
)
p
″
1
(
x
)
p
2
(
x
)
p
′
2
(
x
)
p
″
2
(
x
)
p
3
(
x
)
p
′
(
x
)
p
″
3
(
x
)
]
and
B
(
x
)
=
[
A
(
x
)
]
T
A
(
x
)
.Then determinant of
B
(
x
)
:
(a) is a polynomial of degree 6 in x .
(b) is a polynomial of degree 3 in x .
(c) is a polynomial of degree 2 in x .
(d) does not depend on x .
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