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Let (1+x+x^(2))^(2014)=a(0)+a(1)x+a(2)...

Let
`(1+x+x^(2))^(2014)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)+ . . . +a_(4028)x^(4028),` and let
`A=a_(0)-a^(3)+a_(6)- . . . +a_(4026)`
`B=a_(1)-a_(4)+a_(7)- . . . . . . . -a_(4027)`,
`C=a_(2)-a_(5)+a_(8)- . . . .+a_(4028)`,
Then-

A

`|A|=|B| gt |C |`

B

`|A|=|B| lt | C|`

C

`|A|=|C |gt |B|`

D

`|A|=|C| lt |B|`

Text Solution

Verified by Experts

The correct Answer is:
D
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