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 SOLVED EXAMPLES ( LEVEL 2 Single Correct Answer Type Questions)|23 Videos
  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( Numerical Answer Type Questions)|20 Videos
  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( Concept Based Single Correct Answer Type Questions)|10 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-SOLVED EXAMPLES ( LEVEL 1 Single Correct Answer Type Questions)
  1. If (1+x+x^(2))^(8)=a(0)+a(1)x+a(2)x^(2)+…a(16)x^(16) for all values of...

    Text Solution

    |

  2. Sum of the last 12 coefficients in the binomial expansion of (1 + x)^...

    Text Solution

    |

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

    Text Solution

    |

  4. If a, b and c are three consecutive coefficients terms in the expansio...

    Text Solution

    |

  5. Suppose a(0) = 2017, a(1) a(2), ... , a(n- 1), 2023 = a(n), are in A.P...

    Text Solution

    |

  6. The interval in which x must lie so that the greatst term in the ex...

    Text Solution

    |

  7. If the coefficients of the rth, (r +1)th and (r + 2)th terms in the bi...

    Text Solution

    |

  8. Let x > - 1, then statement P(n) : (1 + x)^(n) > 1 + nx is true for

    Text Solution

    |

  9. For n in N,2^(3n)+1 is divisisble by

    Text Solution

    |

  10. x^(2n-1)+y^(2n-1) is divisible by x+y

    Text Solution

    |

  11. For each n in N, n(n+1) (2n+1) is divisible by

    Text Solution

    |

  12. If an = sqrt(7+ sqrt( 7+sqrt7+ ....... ))) having n radical signs then...

    Text Solution

    |

  13. If a(n) = 2^(2^(n)) + 1, then for n > 1, last digit of a(n) is

    Text Solution

    |

  14. Let S(k) = 1 + 3 + 5 +...+ (2k -1) = 3 + k^2. Then which of the follow...

    Text Solution

    |

  15. Let (1 + x)^(n) = sum(r=0)^(n) C(r) x^(r) and , (C(1))/(C(0)) + 2 (...

    Text Solution

    |

  16. The last term in the binomial expansion of (2^(1/3) -1/sqrt(2))^n is (...

    Text Solution

    |

  17. Degree of the polynomial (x^(2)-sqrt(1-x^(3)))^(4)+(x^(2)+sqrt(1-x^(3)...

    Text Solution

    |

  18. Coefficient of 1/x in the expansion of (1 + x)^(n) (1 + 1//x)^(n) is

    Text Solution

    |

  19. Find the coefficient of x^4 in the expansion of (1+ x +x^2+ x^3)^11

    Text Solution

    |

  20. Find the 6th term of the expansion (y^(1//2) + x^(1//3))^(n) , if the ...

    Text Solution

    |