Home
Class 12
MATHS
The sum of the coefficients in the expan...

The sum of the coefficients in the expansion of
`(1+x-3 x^(2))^(171)` is

A

1: 0

B

2: 1

C

3: `-1 `

D

4: 2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|221 Videos

  • CIRCLES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|272 Videos

Similar Questions

Explore conceptually related problems

The sum of the coefficients in the expansion of (1+x-3x^(2))^(3148)

The sum of the coefficients in the expansion of (1-x)^(10) is

The sum of the coefficients in the expansion of (a x^(2)-2 x+1)^(35) is equal to sum of the coefficients in the expansion of (x-a y)^(35) , then a=

The sum of the coefficients in the expansion of (6 x-5 y)^(n) where n is a positive integer, is

The sum of the last eight coefficients in the expansion of (1+x)^(15) is

The coefficient of x^(3) in the expansion of (1-x+x^(2))^(5) is

If the sum of the coefficients in the expansion of (x+y)^(n) is 4096, then the greatest coefficient in the expansion is

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

The sum of last ten coefficients in the expansion of (1+x)^(19) when expanded in ascending powers of x is

HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The term independent of x in the expansion of (x^(2)-(1)/(x))^(6) ...

    Text Solution

    |

  2. The coefficients of x^(-n) in (1+x)^(n)(1+(1)/(x))^(n) is

    Text Solution

    |

  3. The sum of the coefficients in the expansion of (1+x-3 x^(2))^(171) i...

    Text Solution

    |

  4. If (1+x)^(n) = C(0)+C(1).x+C(2). x^(2)+..+C(n). x^(n) then C(0)+2. ...

    Text Solution

    |

  5. In the expansion of (1+x)^(n) the coefficients of pth and (p+1)^(t...

    Text Solution

    |

  6. The coefficient of x^(5) in the expansion of (x^(2)-x-2)^(5) is

    Text Solution

    |

  7. The first three terms in the expansion of (1+a x)^(n ne 0) are 1,6 x...

    Text Solution

    |

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

    Text Solution

    |

  9. The coeffient of the middle term in the binomial expansion in powers o...

    Text Solution

    |

  10. The number of integral terms in the expansion of (sqrt(3)+root(8)(5))^...

    Text Solution

    |

  11. If the coefficient of rth, (r+1)th and (r+2)th terms in the binomial e...

    Text Solution

    |

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

    Text Solution

    |

  13. Let nge5 and bne0. In the binomial expansion of (a-b)^(n), the sum of ...

    Text Solution

    |

  14. The coefficient of x^(53) is sum(r=0)^(100) 100 C(r).(x-3)^(100-r). ...

    Text Solution

    |

  15. If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of x and x^...

    Text Solution

    |

  16. Coefficient of t^(24) in (1+t^(2))^(12)(1+t^(12))(1+t^(24)) is:

    Text Solution

    |

  17. In the expansion of (1+x)^(50), the sum of the coefficients of odd pow...

    Text Solution

    |

  18. Given the integers rgt1,ngt2 and coefficients of (3r)th and (r+2)nd te...

    Text Solution

    |

  19. The coefficient of the term independent of x in the expansion of (sqrt...

    Text Solution

    |

  20. The coefficient of x^(4) in the expansion of ((x)/(2)-(3)/(x^(2)))^(...

    Text Solution

    |