Home
Class 11
MATHS
If a. b, c and d are the coefficients of...

If a. b, c and d are the coefficients of 2nd, 3rd, 4th and 5th terms respectively in the binomial expansion of `(1+x)^n`, then prove that `a/(a+b) + c/(c+d) = 2b/(b+c)`

Text Solution

Verified by Experts

N/a
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Exercise 8C|28 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Exercise 8D|8 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Example|68 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|20 Videos

Similar Questions

Explore conceptually related problems

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 2nd,3rd and 4th terms in the expansion of (1+x)^(n),nN are in A.P. then n=7b.14c.2d .none of these

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

Given positive integers r gt 1, n gt 2 and that the coefficient of (3rd)th and (r+2)th terms in the binomial expansion of (1+x)^(2n) are equal. Then (a) n=2r (b) n=2r+1 (c) n=3r (d) non of these

if a,b,c and d are the coefficient of four consecutive terms in the expansion of (1+x)^(n) then (a)/(a+b)+(C) /(c+d)=?

If a,b,c and d are any four consecutive coefficients in the expansion of (1 + x)^(n) , then prove that (i) (a) /(a+ b) + (c)/(b+c) = (2b)/(b+c) (ii) ((b)/(b+c))^(2) gt (ac)/((a + b)(c + d)), "if " x gt 0 .

If a:b = 3:5, and sum of the coefficients of 5^(th) and 6^(th) terms in the expansion of (a-b)^(n) is zero, then n=_________

NAGEEN PRAKASHAN-BINOMIAL THEOREM-Exercise 8B
  1. If the coefficients of three consecutive terms in the expansion of (1+...

    Text Solution

    |

  2. Find the 4^(t h)term in the expansion of (x-2y)^(12).

    Text Solution

    |

  3. Find the 7th term in the expansion of ((4x)/5-5/(2x))^9.

    Text Solution

    |

  4. Find the 15th term in the expansion of (2y-(x)/(2))^(18)

    Text Solution

    |

  5. (i) Find the 9th term in the expansion of ((x)/(a)-(2a)/(x^(2)))^(12) ...

    Text Solution

    |

  6. Find the (r+1)th term in the expansion of ((x)/(a)-(a)/(x))^(2n)

    Text Solution

    |

  7. Find the 7th term from the end in the expansion of (x+(1)/(x))^(11)

    Text Solution

    |

  8. Find the 3rd term the end in the expansion of (2-3x)^(8)

    Text Solution

    |

  9. Find the 4th term from the end in the expansion of ((x)/(2)-(4)/(x))^(...

    Text Solution

    |

  10. Find the middle term in the following expansion: (i) (x^(2)-(1)/(x^2))...

    Text Solution

    |

  11. If the coefficients of (p+1)th and (P+3)th terms in the expansion of (...

    Text Solution

    |

  12. If the coefficients of the (2r+4)t h ,(r+2)t h term in the expansion o...

    Text Solution

    |

  13. if the coefficient of (2r+1)th term and (r+2)th term in the expansion...

    Text Solution

    |

  14. Find a if 17th and 18th terms in the expansion of (2+a)^(50) are eq...

    Text Solution

    |

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

    Text Solution

    |

  16. In n is a positive integer then prove that the coefficient of the midd...

    Text Solution

    |

  17. If 3rd, 4th, 5th terms in the expansion of (a+x)^n be 84, 280 and 560,...

    Text Solution

    |

  18. Find a, b and n in the expansion of (a+b)^nif the first three terms ...

    Text Solution

    |

  19. If a. b, c and d are the coefficients of 2nd, 3rd, 4th and 5th terms r...

    Text Solution

    |

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

    Text Solution

    |