Home
Class 12
MATHS
When n is any postive integer,the expans...

When n is any postive integer,the expansion `(x+a)^(n) = .^(n)c_(0)x^(n)` + `.^(n)c_(1)x^(n-1)a` + ……. + `.^(n)c_(n)a^(n)` is valid only when

A

`|x|lt1`

B

`|x|gt1`

C

`|x|lt1 and |a|lt1`

D

`x` and `a` are any two numbers

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-B)|34 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-C) Objective type question (More than one correct answer)|15 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Try Yourself|20 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

Similar Questions

Explore conceptually related problems

The expansion (a+x)^(n) = .^(n)c_(0)a^(n) + ^(n)c_(1)a^(n-1)x + ………… + .^(n)c_(n)x^(n) is valid when n is

If n is a positvie integers, the value of E=(2n+1).^(n)C_(0)+(2n-1).^(n)C_(1)+(2n-3)^(n)C_(2)+………+1. ^(n)C_(n)2 is

The value of .^(n)C_(0).^(n)C_(n)+.^(n)C_(1).^(n)C_(n-1)+...+.^(n)C_(n).^(n)C_(0) is

The middle term in the expansion of ((2x)/(3)-(3)/(2x^(2)))^(2n) is ^(2n)C_(n) b.(-1)^(n)2nC_(n)x^(-n) c.^(2n)C_(n)x^(-n)d .none of these

sum_(n=1)^(oo) (""^(n)C_(0) + ""^(n)C_(1) + .......""^(n)C_(n))/(n!) is equal to

If n is a positive integer,find the coefficient of x^(-1) in the expansion of (1+x)^(n)(1+(1)/(x))^(n)

The coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(n) is *^(n)C_(4)+^(n)C_(2)+^(n)C_(1)xx^(n)C_(2)

Let n be a positive integer and (1+x)^(n)+C_(0)+C_(1)x+C_(2)x^(2)+C_(3)x^(3)+ . . .+C_(r)x^(r)+ . . .+C_(n-1)x^(n-1)+C_(n)x^(n) Where C_(r) stands for .^(n)C_(r) , then Q. The value of underset(r=0)overset(n)(sum)underset(s=0)overset(n)(sum),C_(r),C_(S) is

AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-A)
  1. The expansion (a+x)^(n) = .^(n)c(0)a^(n) + ^(n)c(1)a^(n-1)x + ………… + ....

    Text Solution

    |

  2. If the coefficient of rth term and (r+1)^(th) term in the expansion of...

    Text Solution

    |

  3. When n is any postive integer,the expansion (x+a)^(n) = .^(n)c(0)x^(n)...

    Text Solution

    |

  4. If n is a positive integer, then the number of terms in the expansion ...

    Text Solution

    |

  5. The term independent of x in the expansion of (2x+1/(3x))^(6) is

    Text Solution

    |

  6. The 6th term of expansion of (x-1/x)^(10) is

    Text Solution

    |

  7. The number of the terms which are not similar in the expansion of (L+M...

    Text Solution

    |

  8. The exponent of x occuring in the 7th term of the expansion of ((ax)/2...

    Text Solution

    |

  9. The term containing a^(3)b^(4) in the expansion of (a-2b)^(7) is

    Text Solution

    |

  10. The term independent of x in the expansion of (x-3/x^(2))^(18) is

    Text Solution

    |

  11. In the expansion of (x^(3)-2/x^(2))^(12), fifth term from the end is

    Text Solution

    |

  12. If m and n are positive integers, then prove that the coefficients of ...

    Text Solution

    |

  13. The number of terms in expansion of {(a+4b)^(3)(a-4b)^(3)}^(2) is

    Text Solution

    |

  14. If r^(th) term in the expansion of (x^(2)+1/x)^(12) is independent of ...

    Text Solution

    |

  15. The non zero terms in the expansion of (1+3sqrt(2)a)^(9)+(1-3sqrt(2)a)...

    Text Solution

    |

  16. In the expansion of (2+1/(3x))^(n), the cofficient of x^(-7) and x^(-...

    Text Solution

    |

  17. In in the expansion of (1+px)^(q), q belongs to N, the coefficients of...

    Text Solution

    |

  18. The expansion of (x^(alpha)+1/x^(beta))^(n) has constant term, if

    Text Solution

    |

  19. The number of rational terms in the expansion of ((25)^(1/3) + 1/(25)^...

    Text Solution

    |

  20. The number of zeros at the end of (101)^(11)-1 is

    Text Solution

    |