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The coefficient of x^(10) in the expansi...

The coefficient of `x^(10)` in the expansion of `1+(1+x)+(1+x)^2+.....+(1+x)^(20)` is

A

`^19C_9`

B

`^20C_10`

C

`^21C_11`

D

`^22C_12`

Text Solution

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The correct Answer is:
C
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PATHFINDER-BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION-QUESTION BANK
  1. The coefficient of x^(-10) in the expansion of (x^2-1/x^3)^10 is

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  2. If a1, a2 are the coefficients of x^n in the expansion of (1+x)^(2n) &...

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  3. The coefficient of x^(10) in the expansion of 1+(1+x)+(1+x)^2+.....+(1...

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  4. The sum of the coefficients of the terms of the expansion of (3x-2y)^n...

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  5. The coefficient of the middle term of the expansion of (1-2x+x^2)^n is

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  6. The sum of the coefficients in the expansion of (1-2x+2x^2)^(2014) is

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  7. The middle term of the expansion of (4x+5y)^18 is

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  8. The value of (^8C1+^8C2+^8C3+....+^8C8) is

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  9. The value upto 3 decimal place of (0.999)^3 is (applying Binomial Theo...

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  10. Find the 10th term of (2x^2+1/x)^12.

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  11. If rth term in the expansion of (x+1/x)^10 is independent of x, then f...

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  12. Find the middle term in the expansion of (x-1/(2y))^10.

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  13. find the value of (99)^4.

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  14. Find a, if 17th and 18th terms in the expansions of (2+a)^50 are equal...

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  15. If the 3rd term in the expansion of (1/x+x^(log(10)x))^5 is 1000, then...

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  16. Determine the constant term in the expansion of (x^3-1/x^2)^15.

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  17. Find the coefficient of x^20 in the expression of (1+x^2)^40(x^2+2+1/x...

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  18. Find the term independent of x in the expansion of (sqrtx+1/(3x^2))^10...

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  19. Find the coefficient of x in (1-2x^3+3x^5)(1+x+1/x)^10.

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  20. In the expansion of (1+x)^(m+n), where m & n are +ve integers, prove t...

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