Home
Class 11
MATHS
If in the expansion of (a+b)^n\ a n d\ (...

If in the expansion of `(a+b)^n\ a n d\ (a+b)^(n+3)` , the ratio of the coefficients of second and third terms, and third and fourth terms respectively are equal, then `n` is a. 3 b. 4 c. 5 d. 6

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 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 in the expansion of (1+x)^(15), the coefficients of (2r+3)^(th) a n d\ (r-1)^(th) terms are equal, then the value of r is a. 5 b. 6 c. 4 d. 3

If the coefficient of second, third and fourth terms in the expansion of (1+x)^(2n) are in A.P. then show that 2n^(2)-9n=-7 .

In the binomial expansion of (a+b)^n , coefficients of the fourth and thirteenth terms are equal to each other. Find n .

If the coefficient of 4th term in the expansion of (a+b)^n is 56, then n is

If the coefficient of 4th term in the expansion of (a+b)^n is 56, then n is

If the coefficients of second, third and fourth terms in the expansion of (1 + x)^(2n) are in A.P., show that 2n^(2) - 9n + 7=0 .

In the expansion of (x^(2) + (1)/(x) )^(n) , the coefficient of the fourth term is equal to the coefficient of the ninth term. Find n and the sixth term of the expansion.

Find n if the coefficients of 4th the 13th terms in the expansion of (a+b)^n are equal.

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 .

RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. The term without x in the expansion (2x-1/(2x^2))^(12) is a. 495 b. -4...

    Text Solution

    |

  2. If rth term in the expansion of (2x^2-1/x)^(12) is without x then r is...

    Text Solution

    |

  3. If in the expansion of (a+b)^n\ a n d\ (a+b)^(n+3) , the ratio of the...

    Text Solution

    |

  4. If A and B are the sums of odd and even terms respectively in the expa...

    Text Solution

    |

  5. The number of irrational terms in the expansion of (4^(1/5)+7^(1/10))...

    Text Solution

    |

  6. The coefficient of x^(-17) in the expansion of (x^4-1/x^3)^(15) is

    Text Solution

    |

  7. In the expansion of (x^2-1/(3x))^9 the term without x is equal to a. (...

    Text Solution

    |

  8. If in the expansion of (1+x)^(15), the coefficients of (2r+3)^(th) a n...

    Text Solution

    |

  9. The middle term of the expansion of ((2x^2)/3+3/(2x^2))^(10) is a. 251...

    Text Solution

    |

  10. If in the expansion of (x^4-1/(x^3))^(15),\ x^(-17) occurs in rth term...

    Text Solution

    |

  11. In the expansion of (x-1/(3x^2))^9, the term independent of x is a. T3...

    Text Solution

    |

  12. If the coefficients of 5th, 6th , and 7th terms in the expansion of (1...

    Text Solution

    |

  13. Find the term independent o f x in the expansion of the following expr...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |