question_answer

The coefficient of the middle term in the binomial expansion in powers of\[x\]of\[{{(1+\alpha x)}^{4}}\] and of\[{{(1-ax)}^{6}}\]is the same, if a equals

A) \[-\frac{5}{3}\]                 

B)        \[\frac{10}{3}\]                

C)        \[-\frac{3}{10}\]               

D)        \[\frac{3}{5}\]

Correct Answer: C

Solution :

the coefficient ofin the middle term of expansion of The coefficient of x in the middle term of the expansion of According to question,