Question

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

• A. $^7C_5$
• B. $^8C_5$
• C. $^9C_5$
• D. $^{10}C_5$

Answer 1

Answer: (D)

$^{10}C_5$

Answer 2

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