Home
Class 12
MATHS
The coefficients of x^3 and x^4 in the e...

The coefficients of `x^3` and `x^4` in the expansion of `(1+ax+bx^2)(1-2x)^18`

A

`(14,251/3)`

B

`(14,272/3)`

C

`(16,272/3)`

D

`(16,251/3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Paper|12 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 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 :

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

If the coefficients of x^(2) and x^(11) in the expansion of (1+ax+2x^(2))^(6) be 27 and (-192) respectively,show that,a=-1

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

Find the coefficients of x^4 in the expansion of (1+x+x^2)^3

The coefficient of x^(4) in the expansion of (1+x+x^(2))^(6) is

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-Questions from Previous Years. AIEEE/ JEE Main Papers
  1. The ratio of the coefficient of x^(15) to the term independent of x in...

    Text Solution

    |

  2. The sum of the rational terms in the expansion of (sqrt(2)+ root(5...

    Text Solution

    |

  3. The coefficients of x^3 and x^4 in the expansion of (1+ax+bx^2)(1-2x)^...

    Text Solution

    |

  4. The number of terms in the expansion of (1+x)^(101) (1+x^2-x)^(100) in...

    Text Solution

    |

  5. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

    Text Solution

    |

  6. If (2+x/3)^(55) is expanded in the ascending powers of x and the coeff...

    Text Solution

    |

  7. If 1 +x^4 +x^5 =sum(i=0)^5 ai (1 + x)^i, for all x in R, then a2 is :

    Text Solution

    |

  8. The coefficient of x^(1012) in the expansion of (1+x^(n)+x^(253)^(10),...

    Text Solution

    |

  9. The sum of coefficients of integral powers of x in the binomial exp...

    Text Solution

    |

  10. If the coefficients of the three successive terms in the binomial expa...

    Text Solution

    |

  11. The term independent of x in the binomial expansion of (1-1/x+3x^(5))(...

    Text Solution

    |

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

    Text Solution

    |

  13. FOr xin r, x != -1 , If (1+x)^(2016)+x(1+x)^(215)+x^2(1+x)^(2014)+...

    Text Solution

    |

  14. If the coefficients of x^-2 and x^-4 the expansion of (x^(1/3) +1/(2x^...

    Text Solution

    |

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

    Text Solution

    |

  16. If (27)^999 is divided by 7, then the remainder is .

    Text Solution

    |

  17. The coefficient of x^(-5) in the binomial expansion of ((x +1)/(x^(2/3...

    Text Solution

    |

  18. The sum of the coefficients of all odd degree terms in the expansion o...

    Text Solution

    |

  19. If n is the degree of the polynomial, [2/(sqrt(5x^3+1)-sqrt(5x^3-1))]^...

    Text Solution

    |

  20. The coefficient of x^(10) in the expansion of (1+x)^(2)(1+x^(2))^(3)(1...

    Text Solution

    |