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In the expansion of (x^3-1/x^2)^n, n in ...

In the expansion of `(x^3-1/x^2)^n, n in N` if sum of the coefficients of `x^5` and `x^(10)` is 0 then `n` is

A

5

B

10

C

15

D

20

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-SOLVED EXAMPLES ( LEVEL 1 Single Correct Answer Type Questions)
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  2. The sum of the rational terms in the expansion of (2^(1//5) + sqrt(...

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  3. In the expansion of (x^3-1/x^2)^n, n in N if sum of the coefficients o...

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  4. If in the expansion of (1 + ax)^(n),n in N, the coefficient of x an...

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  5. The greatest value of the term independent of x, as alpha varies over ...

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  6. Sum of the last 20 coefficients in the expansion of (1 + x)^(39), when...

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  7. If (1+x)^(15)=C0+C1x+C2x^2++C(15)x^(15), then find the su of C1+2C3+3C...

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  8. Let R=(2+sqrt(3))^(2n) and f=R-[R] where [ ] denotes the greatest in...

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  9. If [ ] denotes the greatest integer function, then [( sqrt2 + 1)^(6)) ...

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  10. Sum of the coefficients of the terms of degree m in the expansion of (...

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  11. The remainder when 2^(2000) is divided by 17 is

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  12. If (1 + x + x^(2))^(48) = a(0) + a(1) x + a(2) x^(2) + ... + a(96) x^(...

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  13. Sum of the series S = 3^(-1)(""^(10)C(0))-""^(10)C(1)+(3)(""^(10)C(2))...

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  14. The coefficient of x^(53) in the expansion sum(m=0)^(100)^(100)Cm(x-3)...

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  15. Let E = 1^(2017) + 2^(2017) + 3^(2017) + ... + 2016^(2017), then E is ...

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  16. Let (1 + x + x^(2))^(100)=sum(r=0)^(200)a(r)x^(r) and a=sum(r=0)^(200)...

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  17. If (1+x+x^(2))^(8)=a(0)+a(1)x+a(2)x^(2)+…a(16)x^(16) for all values of...

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  18. Sum of the last 12 coefficients in the binomial expansion of (1 + x)^...

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  19. The coefficients of x^3 and x^4 in the expansion of (1+ax+bx^2)(1-2x)^...

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  20. If a, b and c are three consecutive coefficients terms in the expansio...

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