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

In the expansion of `( 1+ x)^(50)`, the sum of the coefficient of odd powers of x is `:`

A

0

B

`2^(49)`

C

`2^(50)`

D

`2^(51)`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Problem Set (4) (Assertion/Reason) |1 Videos

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Problem Set (4) (TRUE AND FALSE) |11 Videos

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Problem Set (3) (MULTIPLE CHOICE QUESTIONS) |12 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos

Similar Questions

Explore conceptually related problems

In the expansion of (1+x)^(30) the sum of the coefficients of odd powers of x is

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

In the expansion of (1+x)^(n) ,Then sum of the coefficients of odd power of x is

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

In the expansion of (1+x)^50 the sum of the coefficients of odd poer 5 to x is (A) 0 (B) 2^50 (C) 2^49 (D) 2^51

The ratio of the coefficient of the middle term in the expansion of (1+x)^(20) and the sum of the coefficients of two middle terms in expansion of (1+x)^(19) is _____ .

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

Show that the coefficient of middle term in the expansion of (1 + x)^(20) is equal to the sum of the coefficients of two middle terms in the expansion of (1 + x)^(19) .

ML KHANNA-BINOMIAL THEOREM AND MATHEMATICAL INDUCTION -Problem Set (4) (MULTIPLE CHOICE QUESTIONS)
  1. The value of ""^(14)C(1) +""^(14)C(3) +""^(14)C(5) + …+""^(14)C(11) is

    Text Solution

    |

  2. If A=C(0) -C(2) +C(4)… and B=C(1)-C(3)+C(5)… then (B)/(A)=

    Text Solution

    |

  3. In the expansion of ( 1+ x)^(50), the sum of the coefficient of odd po...

    Text Solution

    |

  4. Find the sum of the coefficients of all the integral powers of x in th...

    Text Solution

    |

  5. The value of ""^(13)C(2) +""^(13)C(3) +""^(13)C(4) +…+""^(13)C(13) is

    Text Solution

    |

  6. The sum of last ten coefficients in the expansion of (1+x)^(19) when ...

    Text Solution

    |

  7. If S=(1)/(2) ""^(10)C(0) -""^(10)C(1) +2""^(10)C(2)-2^(2)" "^(10)C(3)…...

    Text Solution

    |

  8. If (1 + x)^(n) = sum(r=0)^(n) C(r) x^(r),(1 + (C(1))/(C(0))) (1 + (C(...

    Text Solution

    |

  9. Let (1 + x)^(n) = sum(r=0)^(n) C(r) x^(r) and , (C(1))/(C(0)) + 2 (...

    Text Solution

    |

  10. The value of sum(r=1)^(10) r. (""^(n)C(r))/(""^(n)C(r-1) is equal to

    Text Solution

    |

  11. If P(n) denotes the product of the binomial coefficients in the expan...

    Text Solution

    |

  12. If C(0), C(1), C(2), ..., C(n) denote the binomial cefficients in t...

    Text Solution

    |

  13. If C(0), C(1), C(2), …. C(n) denote the coefficients in the expansion ...

    Text Solution

    |

  14. Statement-1: sum(r =0)^(n) (r +1)""^(n)C(r) = (n +2) 2^(n-1) Stat...

    Text Solution

    |

  15. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+…+C(n)x^(n), then C(0)+5C(1)+9C(2)+...

    Text Solution

    |

  16. If (1+x)^(n)= sum(r=0)^(n)C(r )x^(r ) and sum(r =0)^(n) (C(r ))/(r+1)=...

    Text Solution

    |

  17. If (1+x)^(n)=sum(r=0)^(n)*C(r )x^(r ) and sum(r=0)^(n) (-1)^(r ) (C(r ...

    Text Solution

    |

  18. The sum of the series .^(20)C(0)-.^(20)C(1)+ .^(20)C(2)-.^(20)C(3)+...

    Text Solution

    |

  19. The sum to (n+1) terms of the series (C(0))/(2)-(C(1))/(3)+(C(2))/(...

    Text Solution

    |

  20. If C(r ) stands for ""^(n)C(r ), then the sum of first (n+1) terms of...

    Text Solution

    |