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Question

The coefficient of the middle term in the binomial expansion in powers of x of (1+αx)4 and of (1αx)6 is the same, if α equals 


Your Answer
A
53
Your Answer
B
103
Correct Answer
C
310
Your Answer
D
35

Solution

The correct option is C 310
Middle term of (1+αx)4 is T3.
Its coefficient is  4C2(α)2=6α2.
Middle term of (1αx)6 is T4.
Its coefficient is  6C3(α)3=20α3. 
According to question, 
6α2=20α3
3α2+10α3=0
α2(3+10α)=0
α=310

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