If the middle term of 1x+xsin⁡x10is equal to 778, then value of x is 

If the middle term of 1x+xsinx10is equal to 778, then value of x is 

  1. A

    2+π6

  2. B

    +π6

  3. C

    +(1)nπ6

  4. D

    +(1)nπ3

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    Solution:

    1x+xsinx10

    Here, n=10 (even) 

      Middle term =102+1th=6thT6=10C51x105(xsinx)5 252(sinx)5=638(sinx)5=132 sinx=12sinx=sinπ/6 x=+(1)nπ6

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