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  • The coefficient of middle term in the expansion of  is<s

The coefficient of middle term in the expansion of (1+x)^{10} is

Option: 1

\frac{10 !}{5 ! 6 !}


Option: 2

\frac{10 !}{(5 !)^2}


Option: 3

\frac{10 !}{5 ! 7 !}


Option: 4

None of these


Answers (1)

best_answer

Here, index = 10, an even number, therefore, middle term is \left(\frac{10+2}{2}\right)^{t h}i.e. 6^{th} term.

Also, T_6={ }^{10} C_5 \times{ x}^5 \Rightarrow Coefficient of middle term = { }^{10} C_5 .  

Posted by

HARSH KANKARIA

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