Home
Class 12
MATHS
If the number of terms in the expansion ...

If the number of terms in the expansion of `(1-2/x+4/(x^2))^n , x!=0,` is 28, then the sum of the coefficients of all the terms in this expansion, is : (1) 64 (2) 2187 (3) 243 (4) 729

A

64

B

2187

C

243

D

729

Text Solution

Verified by Experts

The correct Answer is:
B
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

The number of terms in the expansion of (1+2x+x^2)^n is :

The number of terms in the expansion of (2x+3y-4z)^(n) is

The number of terms in the expansion of (2x+3y-4z)^(n) is

What is the sum of the coefficients of all the terms in the expansion of (45x-49)^(4) ?

The sum of the coefficients of middle terms in the expansion of (1+x)^(2n-1)

The sum of the coefficients of the first 10 terms in the expansion of (1-x)^(-3) is

Find the 4 th term in the expansion of (1-2x)^((3)/(2))

The number of terms in the expansion of (x^(2)+1+(1)/(x^(2)))^(n),n in N, is:

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-Questions from Previous Years. AIEEE/ JEE Main Papers
  1. If the coefficients of the three successive terms in the binomial expa...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. The coefficient of x^(2) in the expansion of the product (2-x^(2))(1+2...

    Text Solution

    |

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

    Text Solution

    |

  14. The total number of irrational terms in the binomial expansion of (7^(...

    Text Solution

    |

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

    Text Solution

    |

  16. The coefficient of t^4 in the expansion of ((1 - t^6)/(1-t))^(3) is 3k...

    Text Solution

    |

  17. If the third term in the binomial expansion of (1+x^(log(2)x))^(5) equ...

    Text Solution

    |

  18. The positive value of lambda for which the co-efficient of x^2 in the ...

    Text Solution

    |

  19. The sum of the real values of x for which the middle term in the bin...

    Text Solution

    |

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

    Text Solution

    |