Home
Class 12
MATHS
In the expansion of (1 + x)^(50) the sum...

In the expansion of `(1 + x)^(50)` the sum of the coefficients of the odd power of x is

A

0

B

`2^(49)`

C

`2^(50)`

D

`2^(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 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

In the expansion of (1+x)^(70) , the sum of coefficients of odd powers of x is

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

Show that the coefficient of the middle term in the expansion of (1+x)^2n is equal to the sum of the coefficients of two middle terms in the expansion of (1 + x)^2n-1

In the expansion of (2x + 3)^(5) the coefficient of x^(2) is:

In the expansion of (x^3-1/x^2)^n, n in N if sum of the coefficients of x^5 and x^(10) is 0 then n is

Prove that the coefficient of x^n in the expansion of (1+x)^2n is twice the coefficient of x^n in the expansion of (1+x)^2n-1 .

If the sum of the coefficients of the first, second, and third terms of the expansion of (x^2+1/x)^m i s46 , then find the coefficient of the term that does not contain xdot

NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. If |x| lt 1, then the coefficient of x^(5) in the expansion of (1+ 2x ...

    Text Solution

    |

  2. The coefficient of x^(n) in the expansion of (1 - 9x + 20x^(2))^(-1) i...

    Text Solution

    |

  3. The middle term in the expansion of (x/3-2/sqrt(x))^(6) is

    Text Solution

    |

  4. The number of terms in the expansion of (1 + 5sqrt(2)x)^(9) + (1 - 5sq...

    Text Solution

    |

  5. The number of terms in the expansion of (x + a)^(100) + (x - a)^(100) ...

    Text Solution

    |

  6. If the 21^(st) and 22^(nd) terms in the expansion of (1 + x)^(44) are ...

    Text Solution

    |

  7. In the expansion of (1 + x)^(50) the sum of the coefficients of the od...

    Text Solution

    |

  8. If the sum of the coefficients in the expansion of (1 -3x + 10x^2)^(n)...

    Text Solution

    |

  9. If (1 - x)^(n) = C(0) + C(1)x + C(2)x^(2) + ......... + C(n)x^(n), the...

    Text Solution

    |

  10. The value of C(n, 0) - C(n, 1) + C(n, 2) - C(n, 3) +.......+(-1)^(n)C(...

    Text Solution

    |

  11. C(1) + 4.C(2) + 7.C(3) +......+(3n - 2).C(n) =

    Text Solution

    |

  12. When x is large sqrt(1 + x^(2)) is nearly equal to

    Text Solution

    |

  13. When x is small, sqrt(1 + 2^(x)) is nearly equal to

    Text Solution

    |

  14. The value of (1.01)^(-2) correct to two decimal place is

    Text Solution

    |

  15. Find the value of e^(2), rounded off to one decimal place.

    Text Solution

    |

  16. If the coefficient of the 2^(nd),3^(rd) and 4^(th) terms in the expans...

    Text Solution

    |

  17. The remainder when 5^(99) is divided by 13 is

    Text Solution

    |

  18. The number of intergral terms in the expansion of (3^(1/2) + 5^(1/3))^...

    Text Solution

    |

  19. The value of (18^(3) + 7^(3) + 3.18.7.25)/(3^(6) + 6(243)2 + 15(81)4 +...

    Text Solution

    |

  20. The term independent of x in the expansion of (x^(2) - 1/(3x))^(9) is ...

    Text Solution

    |