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Questions  

If (1+ax)n=1+8x+24x2+,t then the values of a and n are 

a
2,4
b
2,3
c
3,6
d
1,2

detailed solution

Correct option is A

Given that, (1+ax)n=1+8x+24x2+… 1+n1ax+n(n−1)1⋅2a2x2+…=1+8x+24x2+…On comparing the coefficients of x,x2 we getna=8,n(n−1)1⋅2a2=24⇒    na(n−1)a=48⇒    8(8−a)=48⇒    8−a=6⇒a=2⇒    n=4

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