Home
Class 10
MATHS
If the coefficients of the 6th and 5th t...

If the coefficients of the 6th and 5th terms of expansion `(1+x)^(n)` are in the ratio `7:5`, then find the value of n.

A

11

B

12

C

10

D

9

Text Solution

Verified by Experts

The correct Answer is:
A

`"Use" T_(r+1)=""^(n)C_(r)x^(n-r)y^(r)`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BIONOMIAL THEOREM

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 2|20 Videos
  • MATHEMATICAL INDUCTION AND BIONOMIAL THEOREM

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|15 Videos
  • MATHEMATICAL INDUCTION AND BIONOMIAL THEOREM

    PEARSON IIT JEE FOUNDATION|Exercise ESSAY TYPE QUESTIONS|5 Videos
  • LOGARITHMS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|15 Videos
  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise EXERCISE CONCEPT APPLICATION (LEVEL 3)|15 Videos

Similar Questions

Explore conceptually related problems

If the coefficients of three consecutive terms in the expansion of (1+x)^(n) are in the ratio 1:7:42, then find the value of n.

If the coefficients of 5^(th), 6^(th) and 7^(th) terms in the expansion of (1+x)^(n) are in A.P. then n =

If the coefficients of 2nd,3rd and 4th terms in the expansion of (1+x)^(n) are in A.P.then find the value of n.

If the coefficients of 2nd,3rd and 4th terms in the expansion of (1+x)^(n) are in A.P.then find the value of n.

If the coefficients of three consecutive terms in the expansion of (1 + x)^(n) are in the ratio 1 : 3 : 5, then show that n = 7.

The coefficients of three consecutive terms in the expansion of (1+x)^(n) are in the ratio 1:7:42. Find n.

The coefficient of 5th, 6th and 7th terms in the expansion of (1+x)^n are in A.P. Find the value of n.

PEARSON IIT JEE FOUNDATION-MATHEMATICAL INDUCTION AND BIONOMIAL THEOREM-LEVEL 1
  1. If the third term the in the exapansion of (x+x^("log"(2)^(x)))^(6), ...

    Text Solution

    |

  2. Finx the sum of coefficients of all the terms of the exapansin (ax+y)^...

    Text Solution

    |

  3. If the sum of the coefficients in the exapansion (4ax-1-3a^(2)x^(2))^(...

    Text Solution

    |

  4. Find the coefficient of x^(4) in the expansion of (2x^(2)+(3)/(x^(3)))...

    Text Solution

    |

  5. n^(2)-n+1 is an odd number for all

    Text Solution

    |

  6. Statement-1: For each natural number n, (n + 1)^7- n^7 - 1 is divisibl...

    Text Solution

    |

  7. For n in N,2^(3n)+1 is divisisble by

    Text Solution

    |

  8. 2^(n)-1 gives the set of all odd ntural numbers for all n in N. Commen...

    Text Solution

    |

  9. In the 10th term of (x+y)^(n), the exponent of x is 3, then the expone...

    Text Solution

    |

  10. If the coefficients of the 6th and 5th terms of expansion (1+x)^(n) ar...

    Text Solution

    |

  11. The third term from the end in the expansion of (3x-2y)^(15) is

    Text Solution

    |

  12. Find the sixth term in the exapnasion of (2x^(3)-(3)/(7x^(2)))^(11)

    Text Solution

    |

  13. The term independent of x in the exapansion of (x^(3)-(1)/(x^(2)))^(10...

    Text Solution

    |

  14. Which term is the constant term in the exapansion of (2x-(1)/(3x))^(6)

    Text Solution

    |

  15. The sum of the coefficients in the expasnio of (x+y)^(7) is

    Text Solution

    |

  16. The number of terms which are not radicals in the exapansion (sqrt(7)+...

    Text Solution

    |

  17. The coeeficient of x^(4) in the exapnsion of (4x^(2)+(3))/(x))^(8) is

    Text Solution

    |

  18. In the expansion of (X+Y)^(n), the coefficients of the 17th and the 13...

    Text Solution

    |

  19. The number of terms in the expansion of [(2x+3y)^(4)(4x-6y)^(4)]^(9) i...

    Text Solution

    |

  20. If sum of the coefficients of the first two odd terms of the expansio...

    Text Solution

    |