Home
Class 12
MATHS
The coefficient of t^4 in ((1-t^6)/(1-t)...

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

A

12

B

15

C

10

D

14

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 1|5 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 2|7 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise chapter -3|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos
  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

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

If the coefficients of rth and (r+1)t h terms in the expansion of (3+7x)^(29) are equal, then r is equals to a. 15 b. 21 c. 14 d. none of these

In triangle A B C ,/_A=30^0,H is the orthocenter and D is the midpoint of B C . Segment H D is produced to T such that H D=D T The length A T is equal to (a). 2B C (b). 3B C (c). 4/2B C (d). none of these

Let {t_n} be a sequence of integers in G.P. in which t_4: t_6=1:4 and t_2+t_5=216. Then t_1 is (a). 12 (b). 14 (c). 16 (d). none of these

If x=t^2,y=t^3,t h e n(d^2y)/(dx^2) is (a) 3/2 (b) 3/(4t) (c) 3/(2t) (d) (3t)/2

Let C be incircle of A B Cdot If the tangents of lengths t_1,t_2 and t_3 are drawn inside the given triangle parallel to sidese a , b and c , respectively, the (t_1)/a+(t_2)/b+(t_3)/c is equal to 0 (b) 1 (c) 2 (d) 3

In triangle A B C , if sinAcosB=1/4 and 3t a n A=t a n B ,t h e ncot^2A is equal to (a)2 (b) 3 (c) 4 (d) 5.

t 1 and  t 2 are two points on the parabola y^2 =4ax . If the focal chord joining them coincides with the normal chord, then  (a) t1(t1+t2)+2=0 (b) t1+t2=0 (c) t1*t2=-1 (d) none of these     

The slope of the normal to rectangular hyperbopla xy= 4 at (2t,2/t) is a) - t^2 b) t^2 c) 2t d)-2t

If in triangle A B C ,sumsin(A/2)=6/5a n dsumI I_1=9 (where I_1,I_2 a n d I_3 are excenters and I is incenter, then circumradius R is equal to (15)/8 (b) (15)/4 (c) (15)/2 (d) 4/(12)

CENGAGE PUBLICATION-JEE 2019-MCQ
  1. There are m men and two women participating in a chess tournament. Eac...

    Text Solution

    |

  2. If the fractional part of the number (2^(403))/(15) is (k)/(15) then k...

    Text Solution

    |

  3. The coefficient of t^4 in ((1-t^6)/(1-t))^3 (a) 18 (b) 12 ...

    Text Solution

    |

  4. If Sigma(i=1)^(20) ((""^(20)C(i-1))/(""^(20)C(i)+""^(20)C(i-1)))^(3)=(...

    Text Solution

    |

  5. If the third term in expansion of (1+x^(log2x))^5 is 2560 then x is eq...

    Text Solution

    |

  6. The positive value of lambda for which the coefficient of x^(2) in the...

    Text Solution

    |

  7. If Sigma(r=0)^(25) (""^(50)C(r)""^(50-r)C(25-r))=K(""^(50)C(25)), th...

    Text Solution

    |

  8. If the middle term of the expansion of (x^3/3+3/x)^8 is 5670 then sum ...

    Text Solution

    |

  9. The value of r for which .^(20)C(r ). ^(20)C(0)+ .^(20)C(r - 1) .^...

    Text Solution

    |

  10. Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a(2)x^(2)+...+a(50)x^(50) for a...

    Text Solution

    |

  11. Let Sn=1+q+q^2 +...+q^n and Tn =1+((q+1)/2)+((q+1)/2)^2+...((q+1)/2)^n...

    Text Solution

    |

  12. Ratio of the 5^(th) term from the beginning to the 5^(th) term from th...

    Text Solution

    |

  13. If ""^(n)C(4),""^(n)C(5) and ""^(n)C(6) are in A.P. then the value of ...

    Text Solution

    |

  14. Number of irrational terms in expansion of (2^(1/5) + 3^(1/10))^60 is

    Text Solution

    |

  15. Two integers are selected at random from the set {1, 2, …, 11}. Given ...

    Text Solution

    |

  16. Let S={1,2,...,20} A subset B of S is said to be "nice", if the sum of...

    Text Solution

    |

  17. In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 o...

    Text Solution

    |

  18. In a game, a man wins Rs 100 if he gets 5 or 6 on a throw of a fair di...

    Text Solution

    |

  19. If the Boolean expression (p oplusq)wedge (~p Theta q) is equivalent t...

    Text Solution

    |

  20. The logical statement [~(~pvvq)vv(p^^r)]^^(~q^^r) is equivalent to

    Text Solution

    |