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The term independent of x in the expansi...

The term independent of x in the expansion of `(1 + x)^n (1 + 1/x)^n` is

A

`C_0^2 + C_1^2 + C_2^2 + ……….+C_n^2`

B

`""^(2n)C_n`

C

`(1.3.5…..(2n - 1))/(n!) 2^n`

D

All of the above

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The correct Answer is:
B
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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - II
  1. If the 5th term is the term independent of x in the expansion of (x^(2...

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  2. If a term independent of x is to exist in the expansion of (x + (1)/(x...

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  3. The term independent of x in the expansion of (1 + x)^n (1 + 1/x)^n is

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

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  5. The sum of the binomial coefficients in the expansion of ((2x)/(3) + (...

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  6. The two successive terms in the expansion (1+x)^24 whose coeff's are i...

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  7. If two consecutive terms in the expansion of (x+a)^n are equal to wher...

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  8. The coefficient of x^53 in sum(r = 0)^(100) ""^100Cr (x - 3)^(100 - r)...

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  9. Let n in N . If (1 + x)^n = a0 + a1 x + a2x^2+…. + anx^n and a(n-3), a...

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  10. If the coefficient of rth term and (r+1)th term in the expansion of (...

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  11. If the coefficients of r^(th) , (r + 1)^(th) and (r + 2)^(th) terms i...

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  12. If the coefficients of three consecutive terms in the expansion of (1+...

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  13. The coefficient of x^n in expansion of (1+x) (1-x)^n is

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  14. The coefficient of x^11 in the expansion of (1- 2x + 3x^2) (1 + x)^11 ...

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

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

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  17. Coefficient of x^5 in ( 1+ x)^21 + (1 + x)^22 + …….+ (1 + x)^30 is

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  18. Coefficient of a^8b^6c^4 in (a+b+c)^18 is

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  19. The coefficient of x^9 in (x - 1)(x - 4) ( x- 9) ……. ( x -100) is

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  20. The term in (x + y)^50 which is greatest in absolute value if |x| = sq...

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