Home
Class 12
MATHS
If (1 + ax)^(n) = 1 + 6x + 27/2 x^(2) + ...

If `(1 + ax)^(n) = 1 + 6x + 27/2 x^(2) + ...... + a^(n)x^(n)`, then the values of `a` and `n` are respectively

A

2 and 9

B

3 and 2

C

`2//3` and `9`

D

`3//2` and `6`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|25 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

If (1 - x)^(n) = C_(0) + C_(1)x + C_(2)x^(2) + ......... + C_(n)x^(n) , then the value of 1.C_(1) + 2.C_(3) + 3.C_(3) + ......... + n.C_(n) =

If (4x^(2) + 1)^(n) = sum_(r=0)^(n)a_(r)(1+x^(2))^(n-r)x^(2r) , then the value of

Let (1 + x)^(n) = 1 + a_(1)x + a_(2)x^(2) + ... + a_(n)x^(n) . If a_(1),a_(2) and a_(3) are in A.P., then the value of n is

If L=("lim")_(nvecoo)(2x3^2x2^3x3^4..... x2^(n-1)x3^n)^(1/((n^(2+1))) , then the value of L^4 is

If (1+x+x^2)^n=a_0+a_1x+a_2x^2++a_(2n)x_(2n), find the value of a_0+a_6++ ,n in Ndot

If (1+x+x^2++x^p)^n=a_0+a_1x+a_2x^2++a_(n p)x^(n p), then find the value of a_1+2a_2+3a_3+ddot+n pa_(n p)dot

If x satisfies x^(2)-2x cos theta +1=0 , then the value of x^(n)+((1)/(x^n)) is

If a N = { ax : x in N} then the set 4N cap 6N is

If (1)/(x^(4))-(6)/(x^(3))+(13)/(x^(2))+(m)/(x)+ n is a perfect square, find the values of m and n.

If |x^n x^(n+2)x^(2n)1x^a a x^(n+5)x^(a+6)x^(2n+5)|=0,AAx in R ,w h e r en in N , then value of a is n b. n-1 c. n+1 d. none of these

NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-QUESTIONS FROM COMPETITIVE EXAMS
  1. The coefficient of x^(-9) in the expansion of (x^(2)/2 - 2/x)^(9) is

    Text Solution

    |

  2. If the coefficients of the r^(th) term and the (r + 1)^(th) term in th...

    Text Solution

    |

  3. If (1 + ax)^(n) = 1 + 6x + 27/2 x^(2) + ...... + a^(n)x^(n), then the ...

    Text Solution

    |

  4. If x = (729 + 6(2)(243) + 15(4)(81) + 20(8)(27) + 15(16)(9) + 6(32)3 +...

    Text Solution

    |

  5. The number of terms in the expansion of (a + b + c)^(10) is

    Text Solution

    |

  6. If |x| lt 1, then the coefficient of x^(n) in (1 + 2x + 3x^(2) + 4x^(3...

    Text Solution

    |

  7. The sum of the rational terms in the expansion of (sqrt(2) + 3^(1/5))^...

    Text Solution

    |

  8. if (1 + C(1)/C(0))(1 + C(2)/C(1)) (1 + C(3)/C(2)) ...... (1 + C(n)/C(n...

    Text Solution

    |

  9. In the expansion of (1 + 3x + 2x^(2))^(6) the coefficient of x^(n) is

    Text Solution

    |

  10. If (2x^(2) - x - 1)^(5) = a(0) + a(1)x + a(2)x^(2) + ....... + a(10)x^...

    Text Solution

    |

  11. If (1 + x - 3x^(2))^(10) = a(0) + a(1)x + a(2)x^(2) + ....... + a(20)x...

    Text Solution

    |

  12. (i) What is the second term in the expansion of (1 + x)^(n)? (ii) Wr...

    Text Solution

    |

  13. The coefficient of a^(5)b^(6)c^(7) in the expansion of (bc + ca + ab)^...

    Text Solution

    |

  14. If the expansion of (3sqrt(x)/7 - 5/(2xsqrt(x)))^(13n) contains a term...

    Text Solution

    |

  15. Prove that ""^(10)C(2)+2xx^(10)C(3)+^(10)C(4)=^(12)C(4)

    Text Solution

    |

  16. Let f (x) = [x] , where [x] denotes the greater integer less t...

    Text Solution

    |

  17. If ninN,"then "3^(2n+2)-8n-9 is divisible by

    Text Solution

    |

  18. Let T(n) denote the number of triangles which can be formed by using t...

    Text Solution

    |

  19. The coefficient of the middle term in the expansion of (x + 2y)^(6) is

    Text Solution

    |

  20. Let (1 + x)^(n) = 1 + a(1)x + a(2)x^(2) + ... + a(n)x^(n). If a(1),a(2...

    Text Solution

    |