MCQ
Find the middle term in the expansion of $\Big(\frac{2\text{x}}{3}+\frac{3}{2\text{x}}\Big)^{10}.$
- A210
- B630
- ✓252
- D756
✓
Answer
Correct option: C.
252
- 252
The middle term will be the 6th term.
It will also be the only term independent of x.
Hence the coefficient will be
$T_{5+1} = ^{10}C_{5}$
$=\frac{10!}{5!(5!)}$
= 252
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