The coefficient of the middle term in the binomial expansion of (1+αx)4 and (1−αx)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 (1−αx)6=t4=6C3.(−α)3 4C2α2=−6C3α3⇒−6=20α⇒α=−310