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Byju's Answer
Standard XIII
Mathematics
Middle Terms
If n is even ...
Question
If
n
is even and the middle term in the expansion of
(
x
2
+
1
x
)
n
is
924
x
6
, then
n
is equal to
A
10
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B
12
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C
14
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D
6
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Solution
The correct option is
B
12
∵
n
is even
∴
The middle term
=
(
n
2
+
1
)
th
term
⇒
T
(
n
/
2
+
1
)
=
n
C
n
/
2
(
x
2
)
n
/
2
(
1
x
)
n
/
2
=
924
x
6
(given)
⇒
x
n
/
2
=
x
6
⇒
n
=
12
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0
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Standard XIII Mathematics
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