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If the second term in the expansion ((...

If the second term in the expansion
`((a)^(1/13)+(a)/(sqrt(a^(-1))))^(n)` is `14 a^(5 / 2)` then the value of `(n C_(3))/(n C_(2))` is

A

4

B

3

C

12

D

6

Text Solution

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The correct Answer is:
A
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The coefficient of the middle term in the expansion of (1+x)^(2 n) is

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

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  3. If the second term in the expansion ((a)^(1/13)+(a)/(sqrt(a^(-1))))^...

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  4. The coefficient of x^(20) in (1+3 x+3 x^(2)+x^(3))^(20) is

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  5. The greatest term in the expansion of (1+3 x)^(54) , when x=(1)/(3) ...

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  6. The sum of the last eight coefficients in the expansion of (1+x)^(15)...

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  7. If C(0), C(1), C(2), C(3),.., C(n) are the binomial coefficients in t...

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  8. Greatest term in the expansion of sqrt(3)(1+(1)/(sqrt(3)))^(20) is

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  9. The term independent of x in expansion of ((x+1)/(x^(2//3)-x^(1//3)+1)...

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  10. The coefficient of x^(4) in ((x)/(2)-(3)/(x^(2)))^(10) is

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  11. The greatest coefficient in the expansion of (1+x)^(2n) is

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  12. If the coefficients of r^(th) and (r+1)^(th) terms in the expansion o...

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  13. The coefficient of x^(5) in the expansion of (1+x^(2))^(5).(1+x)^(4)...

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  14. The coefficient of x^(-10)in(x^(2)-(1)/(x^(3)))^(10) is

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  15. The approximate value of (1.0002)^(3000) is

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  16. If (1+x+x^(2))^(n) = sum(r=0)^(2 n) a(r). x^(r) then a(1)-2 a(2)+3 a...

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  17. The coefficient of x^(5) in the expansion of (x^(2)-x-2)^(5) is

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  18. The total number of terms in the expansion of (x+y)^(100)+(x-y)^(100) ...

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  19. In the binomial expansion of (1+x)^(15), the coefficients of x^(r ) an...

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  20. If (n) is an odd positive integer and (1+x+x^(2)+x^(3))^(n) = sum(r...

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