Home
Class 12
MATHS
If r^(th) (r+1)^(th) terms in the expans...

If `r^(th) (r+1)^(th)` terms in the expansion of `(p+q)^(n)` are equal ,then `((n+1)q)/(r(p+q))` is

A

0

B

1

C

`(1)/(4)`

D

`(1)/(2) `

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

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

If the coefficients of r^(th) and (r+1)^(th) terms in the expansion of (3+7 x)^(29) are equal, the r is equal to

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

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

The coefficients of (2 r+4)^(th) and (r-2)^(th) terms in the expansion of (1+x)^(18) are equal. Then the value of r=

If the coefficients of r^(th) , (r+1)^(t h) and (r+2)^(th ) terms in the expansion of (1+x)^(14) are in A.P, then the value of r 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 =

Find the r^th term from the end in the expansion of (x + a)^n .

If T, denotes the r^(th) term in the expansion of (x+(1)/(y))^(23) then

Given the integers rgt1,ngt2 and coefficients of (3r)th and (r+2)nd terms in the binomial expansion of (1+x)^(2n) are equal, then:

HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The greatest term in the expansion of (1+3 x)^(54) , when x=(1)/(3) ...

    Text Solution

    |

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

    Text Solution

    |

  3. If C(0), C(1), C(2), C(3),.., C(n) are the binomial coefficients in t...

    Text Solution

    |

  4. Greatest term in the expansion of sqrt(3)(1+(1)/(sqrt(3)))^(20) is

    Text Solution

    |

  5. The term independent of x in expansion of ((x+1)/(x^(2//3)-x^(1//3)+1)...

    Text Solution

    |

  6. The coefficient of x^(4) in ((x)/(2)-(3)/(x^(2)))^(10) is

    Text Solution

    |

  7. The greatest coefficient in the expansion of (1+x)^(2n) is

    Text Solution

    |

  8. If the coefficients of r^(th) and (r+1)^(th) terms in the expansion o...

    Text Solution

    |

  9. The coefficient of x^(5) in the expansion of (1+x^(2))^(5).(1+x)^(4)...

    Text Solution

    |

  10. The coefficient of x^(-10)in(x^(2)-(1)/(x^(3)))^(10) is

    Text Solution

    |

  11. The approximate value of (1.0002)^(3000) is

    Text Solution

    |

  12. If (1+x+x^(2))^(n) = sum(r=0)^(2 n) a(r). x^(r) then a(1)-2 a(2)+3 a...

    Text Solution

    |

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

    Text Solution

    |

  14. The total number of terms in the expansion of (x+y)^(100)+(x-y)^(100) ...

    Text Solution

    |

  15. In the binomial expansion of (1+x)^(15), the coefficients of x^(r ) an...

    Text Solution

    |

  16. If (n) is an odd positive integer and (1+x+x^(2)+x^(3))^(n) = sum(r...

    Text Solution

    |

  17. If r^(th) (r+1)^(th) terms in the expansion of (p+q)^(n) are equal ,th...

    Text Solution

    |

  18. If x^(r) occurs in the expansion of (x+(1)/(x))^(n), then is coefficie...

    Text Solution

    |

  19. If n C(1)+2. n C(2)+..n. n C(n) = 2 n^(2), then n =

    Text Solution

    |

  20. If (1 +x + x^(2))^(n) = a(0) + a(1) x + a(2) x^(2) + … + a(2n) x^(2n) ...

    Text Solution

    |