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Question

If the middle term of (x+1xsin1x)8 is equal to 63016, then value of x is (are)

A
π3
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B
π6
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C
π6
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D
π3
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Solution

The correct options are
B π3
D π3
Middle term =8C4x4(1xsin1x)4=70(sin1x)4
70(sin1x)4=63016
(sin1x)4=916
sin1x=±32x=±π3

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