Home
Class 12
MATHS
If the coefficients of x^(3) and x^(4) i...

If the coefficients of `x^(3)` and `x^(4)` in the expansion of `(1 + ax + bx^(2)) (1 - 2x)^(18)`, in powers of x both zero, then (a,b) is equal to

A

`(14, (272)/(3))`

B

`(16,(272)/(3))`

C

`(14,(251)/(3))`

D

`(16, (251)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|22 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

Similar Questions

Explore conceptually related problems

If the coefficients of x^3 and x^4 in the expansion of (1""+a x+b x^2)""(1-2x)^(18) in powers of x are both zero, then (a, b) is equal to (1) (16 ,(251)/3) (3) (14 ,(251)/3) (2) (14 ,(272)/3) (4) (16 ,(272)/3)

If the coefficient x^(2) and x^(3) in the expansion of (1 + 8x + bx^(2))(1 - 3x)^(9) in the power of x are equal , then b is :

If sum of the coefficients of x^(7) and x^(4) in the expansion of ((x^(2))/a-b/x)^(11) is zero, then

The coefficient of x^(4) in the expansion of (1-x)^(-2) is

If the coefficients of x^(2) and x^(3) are both zero, in the expansion of the expression (1 + ax + bx^(2)) (1 - 3x)^15 in powers of x, then the ordered pair (a,b) is equal to (A) (28, 315) (B) (-21, 714) (C) (28, 861) (D) (-54, 315)

The coefficient of x^(4) in the expansion of (1-x-2x^(2))^(8) is

ARIHANT MATHS-BIONOMIAL THEOREM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If the coefficient of pth, (p+1)thand (p+2)th terms in the expansion ...

    Text Solution

    |

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

    Text Solution

    |

  3. For natural numbers m ,n ,if(1-y)^m(1+y)^n=1+a1y+a2y^2+ ,a n da1=a2=10...

    Text Solution

    |

  4. In the binomial expansion of (a - b)^(n) , n ge 5 , the sum of the ...

    Text Solution

    |

  5. The sum of the series C 20()0-C 20()1+C 20()2-C 20()3+...-...+C 20()(1...

    Text Solution

    |

  6. Statement-1: sum(r =0)^(n) (r +1)""^(n)C(r) = (n +2) 2^(n-1) Stat...

    Text Solution

    |

  7. The remainder left out when 8^(2n)""(62)^(2n+1) is divided by 9 is (1)...

    Text Solution

    |

  8. For r= 0, 1,.....,10, let Ar,Br, and Crdenote, respectively, the coe...

    Text Solution

    |

  9. So, statement-1 is also true. Stetement-2 is a correct expanation fo...

    Text Solution

    |

  10. The coefficient of x^(7) in the expansion of (1-x-x^(2) + x^(3))^(6) i...

    Text Solution

    |

  11. If n is a positive integer, then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is ...

    Text Solution

    |

  12. In the expansion of ((x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-x^(1/2)))^10 ...

    Text Solution

    |

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

    Text Solution

    |

  14. If the coefficients of x^(3) and x^(4) in the expansion of (1 + ax + b...

    Text Solution

    |

  15. Coefficient of x^(11) in the expansion of (1+x^2)(1+x^3)^7(1+x^4)^(12)...

    Text Solution

    |

  16. The sum of coefficients in integral powers of x in the binominal expan...

    Text Solution

    |

  17. The coefficient of x^9 in the expansion of (1+x)(16 x^2)(1+x^3)(1+x^(1...

    Text Solution

    |

  18. If the number of terms in the expansion of (1-2/x+4/(x^2))^n , x!=0, i...

    Text Solution

    |

  19. Let m be the smallest positive integer such that the coefficient of x^...

    Text Solution

    |

  20. The value of (.^(21)C(1) - .^(10)C(1)) + (.^(21)C(2) - .^(10)C(2)) + (...

    Text Solution

    |