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If the expansion of (x+(alpha/x))^n and ...

If the expansion of `(x+(alpha/x))^n` and `(x+(beta/x^2))^n` in powers of n have one term independent of x then n is divisible by

A

2

B

3

C

1

D

none of these

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The correct Answer is:
A, B
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. If f(n)=sum(r=1)^n[r(n ^(n-1)C(r-1)-r^C(r-1))+(2r+1)^nCr]

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  2. The value of ,^nC0 + ^(n+1)C1 +^(n+2)C2+……+^(n+k)Ck is equal to

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  3. If the expansion of (x+(alpha/x))^n and (x+(beta/x^2))^n in powers of ...

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

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

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

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  7. Which of the following will not be true?

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

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

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

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

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  12. Match List - I with List-II

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  13. Match List-I with List-II

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

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

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

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

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

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

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