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The coefficient of the middle term in th...

The coefficient of the middle term in the expansion of `(1+x)^(2n)` is

A

`2 ^nC_n`

B

`(1.3.5…..(2n-1))/(n!)`

C

2.6….(4n-2)

D

`((2n)!)/((n!)(n!))`

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The correct Answer is:
B, D
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
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  2. If the expansion of (x+(alpha/x))^n and (x+(beta/x^2))^n in powers of ...

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

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  4. If the term independent of x in the expansion of (sqrtx+(k/x^2))^10 is...

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  5. If n is a positive integer then in the trinomial expansion of (x^2+2x+...

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  6. Which of the following will not be true?

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  7. Consider following two infinite series in real r and 0 C=1+rcostheta...

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  8. Consider following two infinite series in real r and 0 C=1+rcostheta...

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  9. First three terms in the expansion of (x+a)^n are respectively 128, 22...

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  10. The sum of even terms in the expansion of (x+a)^n is

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  11. Match List - I with List-II

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  12. Match List-I with List-II

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  13. If the second term of the expansion [a^(1/13)+(a/sqrt(a^(-1))] is 14a^...

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  14. (1+x)(1+x+x^2)(1+x+x^2+x^3)…….(1+x+x^2+…….+x^(100)) when written in th...

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  15. The value of {3^(2003)/28}=a/b where {} denotes the fractional part th...

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  16. The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^11 is lamda ....

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  17. The fractional part of the sum of all the rational terms in the expans...

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  18. Find the last three digits of (17)^256

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  19. Find the term independent of x in the expansion of [(t^(-1)-1)x+(t^(-1...

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  20. If ak=1/(k(k+1)) for k=1 ,2……..,n then prove that (sum(k=1)^n ak)^2 =n...

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