Home
Class 12
MATHS
In the expansion of (1+x)^(n) the coeff...

In the expansion of `(1+x)^(n)` the coefficients of ` pth ` and `(p+1)^(th)` terms are respectively `p ` and `q ` then `p+q `=

A

n

B

`n+1 `

C

`n+2 `

D

`n+3 `

Text Solution

Verified by Experts

The correct Answer is:
B
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

In the expansion of (1+x)^(n) , coefficients of 2^(text (nd )) 3^(rd) and 4^(th) terms are in A.P., then n =

In the expansion of (1+x)^(10) the coefficient of (2 r+1)^(th) term is equal to the coefficient of (4 r+5)^(th) term then r=

If the coefficients of r^(th) and (r+1)^(th) term in the expansion of (1+x)^(n) are equal then n=

If in the expansion of (1+px)^(n),n in N , the coefficial of x and x^(2) are 8 and 24, than the values of n and p are:

If in the expansion of (a+x)^(n),P and Q represent the sum of odd and even terms respectively, then P^(2)-Q^(2) equals

In a binomial expansion (1+x)^(n),n is a positive integer, the coefficients of 5th, 6th and 7th terms are in A.P., then the value of n is

If the coefficient of the r^(th) term and the (r+1)^ (th) term is the expansion of (1+x)^(20) are in the ratio 1: 2 then r =

If the coefficients of (r-5)^(th) and (2r - 1)^(th) terms in the expansion of (1 + x)^34 are equal, find r.

The fourth seventh and tenth terms of a G.P. are p,q,r respectively, then :

HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The sum of the coefficients in the expansion of (1+x-3 x^(2))^(171) i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. In the expansion of (1+x)^(n) , coefficients of 2^(text (nd )) 3^(r...

    Text Solution

    |

  20. The coefficients of x in the expansion of (x^(2)+(c)/(x))^(5) is equ...

    Text Solution

    |