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

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

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

  • NTA JEE MOCK TEST 73

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 75

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The coefficient of t^(50) in (1+t)^(41)(1-t+t^(2))^(40) is equal to

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 t^4 in the expansion of ((1 - t^6)/(1-t))^(3) is 3k. The value of k is _________.

Find the coefficient of t^(8) in the expansion of (1+2t^(2)-t^(3))^(9)

The eccentricity of the conic x=3((1-t^(2))/(1+t^(2))) and y=(2t)/(1+t^(2)) is

The locus of the point x=(t^(2)-1)/(t^(2)+1),y=(2t)/(t^(2)+1)

NTA MOCK TESTS-NTA JEE MOCK TEST 74-MATHEMATICS
  1. An equilateral triangle is inscribed in the ellipse whose equation is ...

    Text Solution

    |

  2. The value of Sigma(k=1)^(99)(i^(k!)+omega^(k!)) is (where, i=sqrt(-1)...

    Text Solution

    |

  3. If the fucntion f(x)={{:(asqrt(x+7),,,0lexlt2),(bx+5,,,x ge2):} is di...

    Text Solution

    |

  4. Consider a matrix A=[a(ij)[(3xx3) where, a(ij)={{:(i+2j,ij="even"),(2i...

    Text Solution

    |

  5. Consider a function f(x)=x^(x), AA x in [1, oo). If g(x) is the invers...

    Text Solution

    |

  6. The standard deviation of a distribution is 30. If each observation is...

    Text Solution

    |

  7. The range of the function f(x)=2sqrt(3x^(2)-4x+5) is

    Text Solution

    |

  8. If A, B, C are three events such that P(B)=(4)/(5), P(A nn B nn C^(c )...

    Text Solution

    |

  9. If the line (x-1)/(5)=(y-3)/(2)=(z-3)/(2) intersects the curve x^(2)-y...

    Text Solution

    |

  10. Let A=[(1,0,3),(0,b,5),(-(1)/(3),0,c)], where a, b, c are positive int...

    Text Solution

    |

  11. The value of lim(xrarr(pi)/(6))(2cos(x+(pi)/(3)))/((1-sqrt3tanx)) is e...

    Text Solution

    |

  12. Coefficient of t^(24) in (1+t^(2))^(12)(1+t^(12))(1+t^(24)) is :

    Text Solution

    |

  13. If 1 in (alpha, beta) where alpha, beta are the roots of the equation ...

    Text Solution

    |

  14. Let the function f(x)=|x+1|. The number of values of x in [-2,2] for w...

    Text Solution

    |

  15. If sinx+cosy=(1)/(3) and cos x+siny=(3)/(4), then the value of tan((x-...

    Text Solution

    |

  16. If the integral I=∫(-(sinx)/(x)-ln x cosx)dx=f(x)+C (where, C is the c...

    Text Solution

    |

  17. If M and m are the maximum and minimum values of (y)/(x) for pair of r...

    Text Solution

    |

  18. If the maximum value of x which satisfies the inequality sin^(-1)(sinx...

    Text Solution

    |

  19. If vec(a(1)),vec(a(2)),vec(a(3)) and vec(b(1)), vec(b(2)),vec(b(3)) be...

    Text Solution

    |

  20. The number of different ways in which the first twelve natural numbers...

    Text Solution

    |