Home
Class 12
MATHS
The coefficient of t^(24) in (1+t^2)^(12...

The coefficient of `t^(24)` in `(1+t^2)^(12)(1+t^(12))(1+t^(24))` is `^12 C_6+3` b. `^12 C_6+1` c. `^12 C_6` d. `^12 C_6+2`

A

`""^(12)C_(6)+3`

B

`""^(12)C_(6)+1`

C

`""^(12)C_(6)`

D

`""^(12)C_(6)+2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^24 in the expansion of (1+x^2)^(12) (1+x^12)(1+x^24) is

The coefficient of X^24 in the expansion of (1+X^2 )^12(1+X^12)(1+X^24)

The coefficient of t^4 in ((1-t^6)/(1-t))^3 (a) 18 (b) 12 (c) 9 (d) 15

The coefficient of x^70 in the product (x-1)(x^2-2)(x^3-3)....(x^12-12) is (a) 4 . (b) 6 (c) 8 (d) 12

Factorise : 12abc -6a^(2) b^(2) c^(2) + 3a^(3) b^(3) c^(3)

If p^(4)+q^(3)=2(p gt 0, q gt 0) , then the maximum value of term independent of x in the expansion of (px^((1)/(12))+qx^(-(1)/(9)))^(14) is (a) "^(14)C_(4) (b) "^(14)C_(6) (c) "^(14)C_(7) (d) "^(14)C_(12)

The mean proportional of 6 and 24 is (a)15 (b) 12 (c)8 (d) 144

The oxidation number of C in glucose (C_(6)H_(12)O_(6)) is

Let coefficient of a^4b^2c^2d^6 in (a+b+c+d)^(14) i s A Then is 'A' a multiple of 12?

(4)/(1.3)-(6)/(2.4)+(12)/(5.7)-(14)/(6.8)+….=

VMC MODULES ENGLISH-BINOMIAL THEOREM-JEE Archive
  1. Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a(2)x^(2)+...+a(50)x^(50) for a...

    Text Solution

    |

  2. The sum of the co-efficients of all odd degree terms in the expansion ...

    Text Solution

    |

  3. The coefficient of t^(24) in (1+t^2)^(12)(1+t^(12))(1+t^(24)) is ^12 C...

    Text Solution

    |

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

    Text Solution

    |

  5. The coefficient of x^4 in (x//2-3//x^2) is (405)/(256) b. (504)/(259) ...

    Text Solution

    |

  6. Prove that underset(r=1)overset(k)sum(-3)^(r-1) .^(3n)C(2r-1) = 0 , wh...

    Text Solution

    |

  7. If sum(r=0)^(2n)ar(x-2)^r=sum(r=0)^(2n)br(x-3)^ra n dak=1 for all kgeq...

    Text Solution

    |

  8. underset(r=0)overset(n)(sum)(-1)^(r).^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(...

    Text Solution

    |

  9. Given, sn=1+q+q^2++q^n ,Sn=1+(q+1)/2+((q+1)/2)^2++((q+1)/2)^n ,q!=1 p...

    Text Solution

    |

  10. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

    Text Solution

    |

  11. For r = 0, 1,"…..",10, let A(r),B(r), and C(r) denote, respectively, t...

    Text Solution

    |

  12. The value of ((30), (0))((30), (10))-((30), (1))((30),( 11)) +(30 2)(3...

    Text Solution

    |

  13. If ^n-1Cr=(k^2-3)^n C(r+1),t h e nk in (-oo,-2] b. [2,oo) c. [-sqrt...

    Text Solution

    |

  14. The sum sum(i=0)^m ((10)c,(i))((20),(m-1)), where ((p),(q))=0 if p ...

    Text Solution

    |

  15. ""^(n)C(r+1)+^(n)C(r-1)+2.""^(n)C(r)=

    Text Solution

    |

  16. If an=sum(r=0)^n1/(^n Cr) , then sum(r=0)^n r/(^n Cr) equals (n-1)an b...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. Prove that the sum of the coefficients in the expansion of (1 + x ...

    Text Solution

    |

  19. If n and k are positive integers, show that 2^k(nC 0)(n k)-2^(k-1)(nC1...

    Text Solution

    |

  20. For any positive integer (m,n) (with ngeqm), Let ((n),(m)) =.^nCm Prov...

    Text Solution

    |