Home
Class 12
MATHS
In the expansion of (x^(2)+(2)/(x))^(n) ...

In the expansion of `(x^(2)+(2)/(x))^(n)` for positive integer n has a term independent of x, then n is

A

23

B

18

C

16

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|221 Videos

  • CIRCLES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|272 Videos

Similar Questions

Explore conceptually related problems

If the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has 13th term independennt of x, then the sum of divisors of n is:

The 13^(th) term in the expansion of (x^(2) + (2)/(x))^(n) is independent of x , then the sum of the divisors of n is

The fourth term in binomial expansion of (x^(2)-(1)/(x^(3)))^(n) in independent of x, when n is equal to:

The fourth term in the binomial expansion of (x^(2)+(2)/(x^(2)))^(n) is independent of x , then n=

In the expansion of (x-(3)/(x^(2)))^(9) , the term independent of x is

In the expansion (sqrt(x)-(2)/(x))^(18) the term independent of x is

Prove that 2^(n) gt n for all positive integers n.

If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of x and x^(2) are 3 and -6 respective then m is

In a binomial expansion (1+x)^(n),n is a positive integer, the coefficients of 5th, 6th and 7th terms are in A.P., then the value of n is

If x^(r) occurs in the expansion of (x+(1)/(x))^(n) , then is coefficient is

HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The coefficient of (1)/(x) in the expansion of ((1)/(x)+1)^(n)(1+x)^...

    Text Solution

    |

  2. Coefficient of x in the expansion of (x^(2)+(a)/(x))^(5)

    Text Solution

    |

  3. In the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has a t...

    Text Solution

    |

  4. Let (1+x^(2))^(2)(1+x)^(n) = sum(k=0)^(n+4) a(k) x^(k) . If a(1) , a...

    Text Solution

    |

  5. The value of C(0)+3C(1)+5C(2)+7C(3)+ . . .+(2n+1)C(n) is:

    Text Solution

    |

  6. The largest term in the expansion of (3+2x)^(50) where x=1/5 is:

    Text Solution

    |

  7. The value of ((30),(0))((30),(10))+((30),(1))((30),(11))+((30),(2))(...

    Text Solution

    |

  8. The positive integer just greater than, (1+0.0001)^(10000) is

    Text Solution

    |

  9. In the binomial expansion of (a-b)^(n),nge5, the sum of the 5th and 6t...

    Text Solution

    |

  10. The sum of series: ""^(20)C(0)-""^(20)C(1)+""^(20)C(2)-""^(20)C(3)+ ...

    Text Solution

    |

  11. If the coefficient of x^(7) in the expansion of (ax^(2)+b^(-1)x^(-1))^...

    Text Solution

    |

  12. The remainder left out when 8^(2n)-(62)^(2n+1) is divided by 9 is

    Text Solution

    |

  13. The coefficient of x^(7) in the expansion of (1-x-x^(2)+x^(3))^(6) is:

    Text Solution

    |

  14. The term independent of x in the expression of (1+x+2x^(3))((3)/(2)x^(...

    Text Solution

    |

  15. In the expansion of (x+sqrt(x^(2)-1))^(6)+(x-sqrt(x^(2)-1))^(6) the...

    Text Solution

    |

  16. The coefficient of x^(6) in the expansion of (1+x+x^(2))^(-3) is

    Text Solution

    |

  17. The coefficient of x^(4) in the expansion of ((x)/(2)-(3)/(x^(2)))^(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |