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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a
35
b
103
c
310
d
-310
answer is D.
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Detailed Solution
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