Home
Class 12
MATHS
Sum of all the digits of the coefficient...

Sum of all the digits of the coefficient of `x^(5)` in the expansion of `(1+x^(2))^(5)(1+x)^(4)` is

A

30

B

40

C

50

D

60

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 Single Correct Answer Type Questions)|10 Videos
  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

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

    MCGROW HILL PUBLICATION|Exercise EXERCISE (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

Find the coefficient of x^(5) in the expansion of (1+x^(2))^(5)*(1+x)^(4) is 60

The coefficient of x^(3) in the expansion of (1-x+x^(2))^(5) is

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

The coefficient of x^(5) in the expansion of (1+x^(2))(1+x)^(4) is

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

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

The coefficient of x in the expansion of (x^(2)+(a)/(x))^(5) is

Find the coefficient of x^(-5) in the expansion of (2x^(2)-(1)/(5x))^(8)

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-EXERCISE (LEVEL 1 Single Correct Answer Type Questions)
  1. If the coefficients of (2r + 4)th and (r - 2)th terms in the expansion...

    Text Solution

    |

  2. The total number of terms in the expansion of (x + a)^(200) + (x - a)^...

    Text Solution

    |

  3. Sum of all the digits of the coefficient of x^(5) in the expansion of ...

    Text Solution

    |

  4. Given positive integers r >1,n >2 and that the coefficient of (3r d)t ...

    Text Solution

    |

  5. If (1 +px)^(n) = 1 + 24x + 264x^(2) + .. . then

    Text Solution

    |

  6. find the sum of the series sum(r=0)^n(-1)^r *"^nCr[1/(2^r)+(3^r)/(2^(...

    Text Solution

    |

  7. The value of .^(n)C(0).^(n)C(n).^(n)C(1).^(n)C(n-1)+...+.^(n)C(n)....

    Text Solution

    |

  8. Express: ((x+sqrt(x^2+1)^6+ (x-sqrt(x^2+1))^6 as a polynomial in x

    Text Solution

    |

  9. The number of distinct terms in the expansion of (1+ 3x + 3x^(2) + x^(...

    Text Solution

    |

  10. If x > 0, then the number of positive real terms in the expansion of (...

    Text Solution

    |

  11. The total number of terms which depand on the value of x in the ex...

    Text Solution

    |

  12. If the third term in the expansion of (1/x+"""x"(log)(10 x))^5 is 1000...

    Text Solution

    |

  13. Let R =(sqrt2+1)^(2n+1),ninN and f= R- [R], where [] denote the greate...

    Text Solution

    |

  14. The coefficient of x^(60) in (1+x)^(51)(1-x+x^(2))^(50) is

    Text Solution

    |

  15. Which is larger : (99^(50)+100^(50)) or (101)^(50).

    Text Solution

    |

  16. (1+x-2x^2)^6=sum(r=0)^12 ar x^r then a2+a4+..... +a12=

    Text Solution

    |

  17. The sum of the coefficients in the expansion of (1 +x-3x^(2))^(4321) i...

    Text Solution

    |

  18. The greatest integer contained in (sqrt3+1)^(6) is

    Text Solution

    |

  19. The number of terms in the expansion of (x^(2)+6x+9)^(30) is

    Text Solution

    |

  20. The expansion of (x + y + z)^(n) is given by

    Text Solution

    |