Home
Class 12
MATHS
The sum of coefficitents in the expansio...

The sum of coefficitents in the expansion of `(1 + 3x -3x^(2))^(1143)` is equal to

A

`-1`

B

0

C

1

D

`2^(1143)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|25 Videos
  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION (LAB Work )|1 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|194 Videos

Similar Questions

Explore conceptually related problems

If the sum of the coefficients in the expansion of (1 -3x + 10x^2)^(n) is a and the sum of the coefficients in the expansion of (1 - x^(2))^(n) is b , then

The sum of the coefficients in the binomial expansion of (1/x + 2x)^(6) is equal to

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

The coefficient of x^(7) in the expansion of (1-x-x^(3)+x^(4))^(8) is equal to

If the sum of the coefficients in the expansion of (q+r)^(20)(1+(p-2)x)^(20) is equal to square of the sum of the coefficients in the expansion of [2rqx-(r+q)*y]^(10) , where p , r , q are positive constants, then

The coefficient of x^(4) in the expansion of (x/2-3/x^(2))^(10) is

The coefficient of x^(4) in the expansion of (1 + x + x^(2) + x^3)^(11) is

The constant term in the expansion of [1 - (x - 2)^(2)]^(10 is equal to

The sum of coefficients in the expansion of (x^(2) - 1/3)^(199) xx (x^(3) + 1/2)^(200) is

The coefficient of x^(7) in the expansion of (1-x-x^(2) + x^(3))^(6) is :

NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-QUESTIONS FROM COMPETITIVE EXAMS
  1. When 2^(1505) is divided by 9, the remainder is

    Text Solution

    |

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

    Text Solution

    |

  3. The sum of coefficitents in the expansion of (1 + 3x -3x^(2))^(1143) i...

    Text Solution

    |

  4. The constant term in the expansion of [1 - (x - 2)^(2)]^(10 is equal t...

    Text Solution

    |

  5. Let t(n) denote the n^(th) term in a binomial expansion. If t(6)/t(5) ...

    Text Solution

    |

  6. The middle term in the expansion of (10/x + x/10)^(10) is

    Text Solution

    |

  7. The coefficient of x^(49) in the product (x - 1) (x - 2) (x - 3) ........

    Text Solution

    |

  8. The sum of the coefficients in the binomial expansion of (1/x + 2x)^(6...

    Text Solution

    |

  9. The value of ""^(2)P(1) + ^(3)P(1) + ...... + ^(n)P(1) equal to

    Text Solution

    |

  10. The positive integer just greater than (1 + .0001)^(10000) is

    Text Solution

    |

  11. r and n are positive integers r gt 1,n gt 2 and coefficient of (r + 2)...

    Text Solution

    |

  12. The coefficients of x^(p) and x^(q) in the expansion of (1 + x)^(p + q...

    Text Solution

    |

  13. If the sum of the coefficients in the expansion of (a + b)^(n) is 4096...

    Text Solution

    |

  14. If x is positive, the first negative term in the expansion of (1 + x)^...

    Text Solution

    |

  15. The number of integral terms in the expansion of (sqrt(3) + root8(5))^...

    Text Solution

    |

  16. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

  17. The coefficient of x^(n) in expansion of (1 + x)(1 - x)^(n) is

    Text Solution

    |

  18. If s(n) = sum(r = 0)^(n) 1/(""^(n)C(r)) and t(n) = sum (r = 0)^(n) r/(...

    Text Solution

    |

  19. If the coefficient of x^(7) in [ax^(2) + (1/(bx))]^(11) equals the coe...

    Text Solution

    |

  20. If x is so small that x^(3) and higher power of x may neglected, then ...

    Text Solution

    |