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  4. The middle term of expansion of ( (10/x)+ (x/10))10 is

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Q. The middle term of expansion of $(\frac {10}{x}+\frac {x}{10})^{10}$ is

KCETKCET 2015Binomial Theorem

Solution:

Since, $n=10$ (even), so the midđle term will be $\left(\frac{10+2}{2}\right)$ th term, i.e. 6 th term.
Now, $T_{6}={ }^{10} C_{5}\left(\frac{10}{x}\right)^{5}\left(\frac{x}{10}\right)^{5}={ }^{10} C_{5}$