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If (1+x+x^2)6n=a0+a1x+a2x^2+……….=a(2n)x^...

If `(1+x+x^2)6n=a_0+a_1x+a_2x^2+……….=a_(2n)x^(2n)` then (A) `a_0+a_3+a_6+….=3^(n-1)` (B) `a_0^2-a_1^2+a_2^2-…..+a^2-2n=a_n` (C) `a_0-a_1+a_2-a_3+.+a_(2n)=1` (D) a_0+a_1+a_2+..+a_(2n)=0`

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The correct Answer is:
(i) `3^(n)` (ii) 1
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ALLEN-Solutions of Triangle & Binomial Theorem-EXERCISE (S-1)
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  8. Let f(x) = 1 - x +x^2-x^3+......+x^16+x^17 , then coefficient of x^2...

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  13. If (1+x+x^2)6n=a0+a1x+a2x^2+……….=a(2n)x^(2n) then (A) a0+a3+a6+….=3^(n...

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