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$T h e c o e f f i c i e n t o f t h e m i d d l e t e r m i n t h e b i n o m i a l e x p a n s i o n i n p o w e r s o f x o f {(1 + a x)}^{4} a n d o f {(1 - a x)}^{6} i s t h e s a m e i f a =$

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Correct option is D

Middle term in the expansion of (1+ax)4is C(4,2)(ax)2 and Middle term in the expansion of (1-ax)6is C(6,3)(-ax)3 Equate these two cofficieints of terms C(4,2)a2=-C(6,3)a3 6=-20a a=-310

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The coefficient of the middle term in the binomial expansion in powers of x of (1+ax)4 and of (1-ax)6 is the same if a=

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$T h e c o e f f i c i e n t o f t h e m i d d l e t e r m i n t h e b i n o m i a l e x p a n s i o n i n p o w e r s o f x o f {(1 + a x)}^{4} a n d o f {(1 - a x)}^{6} i s t h e s a m e i f a =$