Home
Class 11
MATHS
In the expansion of (1+x)^(50), find the...

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

A

0

B

249

C

250

D

251

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND ITS APPLCIATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|103 Videos

  • CARTESIAN CO-ORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|27 Videos

Similar Questions

Explore conceptually related problems

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

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

Observe the following statements : Statement -I : In the expansion of (1+x)^50, the sum of the coefficients of odd powers of x is 2^50 . Statement -II : The coefficient of x^4 in the expansion of (x/2 - (3)/(x^2))^10 is equal to 504/259 . Then the true statements are :

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

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

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 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) .

Assertion (A) : In the (1+x)^50 , the sum of the coefficients of odd powers of x is 2^49 Reason ( R) : The sum of coefficients of odd powers of x in (1+x)^n is 2^(n-1)

how that the coefficient of (r+1) th in the expansion of (1+x)^(n+1) is equal to the sum of the coefficients of the r th and (r+1) th term in the expansion of (1+x)^n

Find the sum of the coefficients of integral powers of x in (1+3sqrtx)^20

OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Chapter Test
  1. If (1 + x)^(n)= C(0) + C(1) x C(2) x^(2) + …+ C(n) x^(n) , prove th...

    Text Solution

    |

  2. Find the numerically grates term in the expansion of 3-5x^(15)w h e nx...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the position of the term independent of x in the expansion of (sq...

    Text Solution

    |

  5. If the coefficients of x^(7) and x^(8) in the expansion of (2+x/3)^(n)...

    Text Solution

    |

  6. If the rth term in the expansion of (x/3-2/x^(2))^(10 contains x^(4), ...

    Text Solution

    |

  7. If the third in the expansion of [x + x^(logx)]^(6) is 10^(6) , th...

    Text Solution

    |

  8. the value of x , for which the 6th term in the expansions of[2^log2sqr...

    Text Solution

    |

  9. If the coefficients of (p+1)th and (P+3)th terms in the expansion of (...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. The value of C(0)+3C(1)+5C(2)+7C(3)+….+(2n+1)C(n) is equal to :

    Text Solution

    |

  12. Find the following sum : (1)/(n!) + (1)/(2!(n-2)!) + (1)/(4!(n-4)!)+...

    Text Solution

    |

  13. The coefficient of x^(n) y^(n) in the expansion of [(1 + x)(1+y) (x...

    Text Solution

    |

  14. If (1 + x - 2 x^(2))^(6) = 1 + C(1) x + C(2) x^(2) + C(3) x^(3) + …+ C...

    Text Solution

    |

  15. Find the ratio of the coefficient of x^(15) to the term independent of...

    Text Solution

    |

  16. Find the number of terms in the expansion of (x+y+z)^(n).

    Text Solution

    |

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

    Text Solution

    |

  18. In the expansion of (x^(2) + 1 + (1)/(x^(2)))^(n), n in N,

    Text Solution

    |

  19. The term independent ofx in the expansion of (1+x)^10*(1+1/x)^10 is

    Text Solution

    |

  20. In the expansion of (x^(3) - (1)/(x^(2)))^(15) , the constant term,i...

    Text Solution

    |