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Byju's Answer
Standard XII
Mathematics
Middle Terms
If the middle...
Question
If the middle term of
(
x
+
1
x
sin
−
1
x
)
8
is equal to
630
16
, then value of
x
is (are)
A
π
3
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B
π
6
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C
−
π
6
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D
−
π
3
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Solution
The correct options are
B
−
π
3
D
π
3
Middle term
=
8
C
4
x
4
(
1
x
sin
−
1
x
)
4
=
70
(
sin
−
1
x
)
4
70
(
sin
−
1
x
)
4
=
630
16
⇒
(
sin
−
1
x
)
4
=
9
16
⇒
sin
−
1
x
=
±
√
3
2
⇒
x
=
±
π
3
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0
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