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Q.

If 14x+11+4x+12n-1-4x+12n=a0+a1x+…+a5x5, then n=

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a

11

b

9

c

10

d

none

answer is A.

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Detailed Solution

14x+11+4x+12n-1-4x+12n=12n4x+12C1 n4x+1+C3 n(4x+1)3+…=12n-1C1 n+C3 n(4x+1)2+C5 n(4x+1)4+… Also, L.H.S.= a0+a1x+…+a5x5 , so the last term must be C11 n(4x+1)10⇒n=11

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