Home
Class 12
MATHS
Given the integers rgt1,ngt2 and coeffic...

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:

A

`n=2 r `

B

`n=3 r `

C

`n=2 r+1 `

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

If 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.

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 21^(st) and 22^(nd ) terms in the expansion of (1-x)^(44) are equal then x=

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=

The middle term in the expansion of (1+x)^(2n) is:

If 21^(st) and 22^(nd) terms in the expansion of (1+x)^(44) are equal, then x is equal to

If the coefficients of second, third and fourth terms in the expansion of (1+x)^(2 n) are in A.P, then,

If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x)^(n) are in A.P., then the value of n is:

HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The coefficients of x^(n) in the expansion of (1+x)^(2n) and (1+x)^(2n...

    Text Solution

    |

  2. The two successive terms in the expansion of (1+x)^(24) whose coeffici...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. The ratio of the coefficient of x^(15) to the term independent of x in...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |