Home
Class 11
MATHS
The coefficient of t^24 in (1+t^2)^2 (1+...

The coefficient of `t^24` in `(1+t^2)^2 (1+ t^12) (1+ t^24)` is:

A

`""^12C_0+3`

B

`""^12C_6`

C

`""^12C_6+1`

D

`""^12C_6+2` .

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise EXERCISE|221 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) in the following x = (1 - t^2)/(1 + t^2), y = (2t)/(1 + t^2)

Find (dy)/(dx) in the following x = a((1 + t^2)/(1 - t^2)) , y = (2t)/(1 - t^2)

Find all the points of discontinuity of the function f(t) = (1/(t^2 + t-2)) , where t = 1/(x-1)

Find dy/dx when x = 2t/(1+ t^2) and y = (1- t^2)/(1+ t^2)

Show that the point : x=(2rt)/(1+t^2), y=(r(1-t^2))/(1+t^2) (r constant) lies on a circle for all values of t such that -1 le t le 1 .

Evaluate int (1+3t)t^2 dx

IF [x= a {(1 + t^2) /(1-t^2)] and [y= 2t/(1 -t^2)] find dy/dx.

The velocity-time graph of particle in one dimensional motion is shown in the fig. Which if the following formulae are correct for describing the motion of the pawrticle over the time interval t_1 to t_2 v(t_2) = v(t_1) + a(t_2 - t_2) , v_(average) = ([x(t_2) - x(t_1)])/((t_2 - t_1)) , x(t_2) - x(t_1) = area under the v - t curve. bounded by the t-axis and the dotted line shown.

The conic having parametric representation x=sqrt3(1-t^(2)/(1+t^(2))),y=(2t)/(1+t^(2)) is

Identify the numerical coefficients of terms (other than constants) in the following expressions 1 + t + t^2 + t^3

MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. If ""^nCr denotes the number of combinations of n things taken r at a ...

    Text Solution

    |

  2. The number of integral terms in the expansion of (sqrt3 + root(8)(5))^...

    Text Solution

    |

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

    Text Solution

    |

  4. How many ways are there to arrange the letters in me word ‘GARDEN’ wit...

    Text Solution

    |

  5. If ^n-1Cr=(k^2-3)^n C(r+1),then k in

    Text Solution

    |

  6. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

  7. Thr ciefficient of x^(n-2) in the polynomial (x-1)(x-2)(x-3)"…."(x-n),...

    Text Solution

    |

  8. If the letters of the word SACHIN are arranged in all possible ways ...

    Text Solution

    |

  9. A rectangle with sides (2m-1) and (2n -1) is divided into squares of u...

    Text Solution

    |

  10. The value of ""^50C4+ underset (r=1) overset (6) sum ""^(56-r)C3 is :

    Text Solution

    |

  11. If the coefficient of x^(7) " in " (ax^(2) + (1)/(bx))^(11) is equal ...

    Text Solution

    |

  12. The value of {:((30), (0))((30), (10))-((30), (1))((30),( 11)) +((30),...

    Text Solution

    |

  13. At an election, a voter may vote for any number of candidates not grea...

    Text Solution

    |

  14. For natural numbers m ,n ,if(1-y)^m(1+y)^n=1+a1y+a2y^2+... , and a1=a2...

    Text Solution

    |

  15. The letters of the word COCHIN are permuted and all the permutations a...

    Text Solution

    |

  16. The sum of series .^(20)C0-^(20)C1+^(20)C2-^(20)C3+....+^(20)C 10 is

    Text Solution

    |

  17. In the binomial expansion of (a -b)^n, nge5, the sum of the 5th and 6t...

    Text Solution

    |

  18. How many different words can be formed by jumbling the letters of the ...

    Text Solution

    |

  19. The number of 7-digit integers, with sum of the digits equal to 10 and...

    Text Solution

    |

  20. The remainder left out when 8^(2n) - (62)^(2n +1) is divided by 9 , i...

    Text Solution

    |