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Question

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

A
53
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B
35
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C
310
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D
103
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Solution

The correct option is C 310
Coefficient of Middle term in
(1+αx)4=t3= 4C2.α2
Coefficient of Middle term in
(1αx)6=t4= 6C3.(α)3
4C2α2=6C3α36=20αα=310

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