Home
Class 11
MATHS
If the fifth term of the expansion (a^(2...

If the fifth term of the expansion `(a^(2//3)+a^(-1))^n` does not contain `'a'`. Then `n` is equal to a. `2` b. `5` c. `10` d. none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|248 Videos
  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA ENGLISH|Exercise All Questions|77 Videos

Similar Questions

Explore conceptually related problems

If the 5th term is the term independent of x in the expansion of (x^(2//3) + 1/x)^n then n =

If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x)^n \ , nin NN are in A.P, then n is a. 7 b. 14 c. 2 d. none of these

If the 6th term in the expansion of (1/(x^(8/3))+x^2(log)_(10)x)^8 is 5600, then x equals 1 b. (log)_e 10 c. 10 d. x does not exist

If the coefficients of the (n+1)^(t h) term and the (n+3)^(t h) term in the expansion of (1+x)^(20) are equal , then the value of n is a. 10 b. 8 c. 9 d. none of these

If the 4th term in the expansion of (a x+1//x)^n is 5/2, then a. a=1/2 b. n=8 c. a=2/3 d. n=6

If the fourth term in the expansion of (a x+1/x)^n \ is \ 5/2,\ then find the values of a\ a n d\ n .

If the coefficients of 5th, 6th , and 7th terms in the expansion of (1+x)^n are in A.P., then n= a. 7 only b. 14 only c. 7 or 14 d. none of these

If the coefficients of 5th, 6th , and 7th terms in the expansion of (1+x)^n are in A.P., then n= a. 7 only b. 14 only c. 7 or 14 d. none of these

If the coefficients of 5th, 6th , and 7th terms in the expansion of (1+x)^n are in A.P., then n= a. 7 only b. 14 only c. 7 or 14 d. none of these

If the second term of 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.

RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Find the term independent o f x in the expansion of the following expr...

    Text Solution

    |

  2. If A and B respectively denote the sum of the odd terms and sum of the...

    Text Solution

    |

  3. If the coefficient of x in the expansion of (x^2 +k/x)^5 is 270, then...

    Text Solution

    |

  4. The coefficient of x^4 in (x//2-3//x^2)^10 is (405)/(256) b. (504)...

    Text Solution

    |

  5. The number of terms in the expansion of (x+a)^100+(x-a)^100 after simp...

    Text Solution

    |

  6. If T2/T3 in the expansion of (a + b)^n and T3/T4 in the expansion o...

    Text Solution

    |

  7. The coefficient of 1//x in the expansion of (1+x)^n(1+1//x)^n is (n !)...

    Text Solution

    |

  8. The sum of the binomial coefficients of [2x+1/x]^n is equal to 256. Th...

    Text Solution

    |

  9. If the fifth term of the expansion (a^(2//3)+a^(-1))^n does not contai...

    Text Solution

    |

  10. The coefficient of x^(-3) in the expansion of (x-m/x)^(11) is a. -924 ...

    Text Solution

    |

  11. The coefficient of the term independent of x in the expansion of (a x+...

    Text Solution

    |

  12. The coefficient x^5 in the expansion of (1+x)^(21)+(1+x)^(22)++(1+x)^...

    Text Solution

    |

  13. The coefficient of x^8y^(10) in the expansion of (x+y)^(18) is a. \ ^(...

    Text Solution

    |

  14. If the coefficients of the (n+1)^(t h) term and the (n+3)^(t h) term i...

    Text Solution

    |

  15. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1...

    Text Solution

    |

  16. The middle term in the expansion of ((2x)/3-3/(2x^2))^(2n) is a. \ ^(2...

    Text Solution

    |

  17. If r^(th) term is the middle term in the expansion of (x^2-1/(2x))^...

    Text Solution

    |

  18. The number of terms with integral coefficients in the expansion of (...

    Text Solution

    |

  19. Constant term in the expansion of (x-1/x)^(10) is a. 152 b. -152 c. -2...

    Text Solution

    |

  20. If the coefficients of x^2a n d\ x^3 in the expansion of (3+a x)^9 are...

    Text Solution

    |