Home
Class 12
MATHS
If the sum of the coefficients in the ex...

If the sum of the coefficients in the expansion of `(1 -3x + 10x^2)^(n)` is `a` and the sum of the coefficients in the expansion of `(1 - x^(2))^(n)` is `b`, then

A

`a = 3b`

B

`b = a^(3)`

C

`a = b^(3)`

D

`a = b`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION (LAB Work )|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|194 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the coefficients in the expansion of (1+2x+3x^2+ n x^n)^2dot

If the sum of the coefficients in the expansion of (a + b)^(n) is 4096, then the greatest coefficient in the expansion is

The sum of coefficitents in the expansion of (1 + 3x -3x^(2))^(1143) is equal to

The sum of the coefficients in the binomial expansion of (1/x + 2x)^(6) is equal to

The coefficient of x^(4) in the expansion of (1 + x + x^(2))^(3) is

if the sum of coefficients in the expansion of (x-2y+3z)^n is 128, then find the greatest coefficients in the expansion of (1+x)^ndot

The coefficient of x^(n) in the expansion of (1 - 9x + 20x^(2))^(-1) is

The coefficient of x^(n) in expansion of (1 + x)(1 - x)^(n) is

NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. If |x| lt 1, then the coefficient of x^(5) in the expansion of (1+ 2x ...

    Text Solution

    |

  2. The coefficient of x^(n) in the expansion of (1 - 9x + 20x^(2))^(-1) i...

    Text Solution

    |

  3. The middle term in the expansion of (x/3-2/sqrt(x))^(6) is

    Text Solution

    |

  4. The number of terms in the expansion of (1 + 5sqrt(2)x)^(9) + (1 - 5sq...

    Text Solution

    |

  5. The number of terms in the expansion of (x + a)^(100) + (x - a)^(100) ...

    Text Solution

    |

  6. If the 21^(st) and 22^(nd) terms in the expansion of (1 + x)^(44) are ...

    Text Solution

    |

  7. In the expansion of (1 + x)^(50) the sum of the coefficients of the od...

    Text Solution

    |

  8. If the sum of the coefficients in the expansion of (1 -3x + 10x^2)^(n)...

    Text Solution

    |

  9. If (1 - x)^(n) = C(0) + C(1)x + C(2)x^(2) + ......... + C(n)x^(n), the...

    Text Solution

    |

  10. The value of C(n, 0) - C(n, 1) + C(n, 2) - C(n, 3) +.......+(-1)^(n)C(...

    Text Solution

    |

  11. C(1) + 4.C(2) + 7.C(3) +......+(3n - 2).C(n) =

    Text Solution

    |

  12. When x is large sqrt(1 + x^(2)) is nearly equal to

    Text Solution

    |

  13. When x is small, sqrt(1 + 2^(x)) is nearly equal to

    Text Solution

    |

  14. The value of (1.01)^(-2) correct to two decimal place is

    Text Solution

    |

  15. Find the value of e^(2), rounded off to one decimal place.

    Text Solution

    |

  16. If the coefficient of the 2^(nd),3^(rd) and 4^(th) terms in the expans...

    Text Solution

    |

  17. The remainder when 5^(99) is divided by 13 is

    Text Solution

    |

  18. The number of intergral terms in the expansion of (3^(1/2) + 5^(1/3))^...

    Text Solution

    |

  19. The value of (18^(3) + 7^(3) + 3.18.7.25)/(3^(6) + 6(243)2 + 15(81)4 +...

    Text Solution

    |

  20. The term independent of x in the expansion of (x^(2) - 1/(3x))^(9) is ...

    Text Solution

    |