Home
Class 12
MATHS
The coefficients of x^(p) and x^(q) (p a...

The coefficients of `x^(p) and x^(q)` (p and q are positive integers in the expansion of `(1+x)^(p+q)` are:

A

equal

B

equal with opposite signs

C

reciprocal to each other

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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 the coefficients of the middle term of (1+x)^(2n+2) is p and the coefficient of middle terms in the expansion of (1+x)^(2n+1) are q and r, then

If f'(x)=(x-a)^(2n)(x-b)^(2p+1) , when n and p are positive integers, then :

If p and q are the roots of the equation x^(2)+p x+q=0 then

If x^(pq) = (x^(p))^(q) , then p =

If p and q are the roots of the equation x^2-p x+q=0 , then

Express the following in the form of (p)/(q) where p and q are integers and q ne 0 0.bar6

If p, q, are real and p ne q then the roots of the equation (p-q) x^(2)+5(p+q) x-2(p-q)=0 are

Express the following in the form of (p)/(q) where p and q are integers and q ne 0 0.bar001

Express the following in the form of (p)/(q) where p and q are integers and q ne 0 0.4bar7

The compound statement (p ^^ q) to ( p vv q) is

HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The ratio of the coefficient of x^(15) to the term independent of x in...

    Text Solution

    |

  2. The number of terms in the expansion of (a+b+c)^(n), where n in N is:

    Text Solution

    |

  3. The coefficients of x^(p) and x^(q) (p and q are positive integers in ...

    Text Solution

    |

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

    Text Solution

    |

  5. If the coefficients of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, t...

    Text Solution

    |

  6. The total number of terms in the expansion of (x+a)^(51)-(x-a)^(51) af...

    Text Solution

    |

  7. If x, y and r are positive integers , then : ""^xCr+""^rC(r-1)""^yC1+^...

    Text Solution

    |

  8. C(0)-C(1)+C(2)-C(3)+ . . .+(-1)^(n)C(n) is equal to

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. If (1+x)^(n)= C(0)+C(1).x+C(2). x^(2)+.. . C(n). x^(n) in the usual n...

    Text Solution

    |

  12. nCr+2. nC(r-1)+nC(r-2)=

    Text Solution

    |

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

    Text Solution

    |

  14. Sum of the odd binomial coefficients of (1+x)^(50) is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If C(0),C(1),C(2), . . . .,C(n) are binomial coefficients of order n,...

    Text Solution

    |

  18. The sum of the coefficients in the expansion of (1+x-3x^(2))^(3148)

    Text Solution

    |

  19. The middle term in the expansion of((x-(1))/(x))^(18) is...

    Text Solution

    |

  20. If the value of C(0)+2C(1)+3C(2)+ . . .+(n+1)C(n)=576, then n is

    Text Solution

    |