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The coefficient of the middle term in the binomial expansion of ${(1 + a x)}^{4}$ and of ${(1 - a x)}^{6}$ 6 is the same is $a$ equals

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Correct option is A

Middle term in the expansion of (1+ax)4 is 4C2(αx)2=6α2x2 and the middle term in the expansion of (1−αx)6 is 6C3(−αx)3=−20α3x3.We are given 6α2=−20α3⇒α=0 or α=−310

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The coefficient of the middle term in the binomial expansion of (1 + ax)4 and of (1 – ax)6 6 is the same is a equals

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The coefficient of the middle term in the binomial expansion of ${(1 + a x)}^{4}$ and of ${(1 - a x)}^{6}$ 6 is the same is $a$ equals