Home
Class 11
MATHS
Find 'a' if the coefficients of x^(2) an...

Find 'a' if the coefficients of `x^(2)` and `x^(3)` in the expanion of `(3 + a x)^(9)` are equal.

A

`3/7`

B

`7/3`

C

`7/9`

D

`9/7`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise EXERCISE|221 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

Similar Questions

Explore conceptually related problems

Find a if the coefficients of x^2 and x^3 in the expansion of (3 + ax)^9 are equal.

Find the coefficient of x^5 in (x+ 3)^6 .

Find the coefficient of x^5 in (x + 3)^8

Find the coefficient of x^7 in the expansion of (1 - x -x^2 + x^3)^(6)dot

Find the coefficient of x^(7) in the expansion of (1+3x-2x^(3))^(10) .

Find the coefficient of x^4 in the expansion of (2-x+3x^2)^6dot

Find the coefficient of x^5 in the expansion of (x+3)^6 is :

Find the coefficient of x^6 y^3 in (x+2y)^9 .

Find the coefficient of x^(10) in the expansion of (2x^(2)-(3)/(x))^(11), x ne0

MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. If C0,C1,C2,........, Cn denote the coefficients in the expansion of (...

    Text Solution

    |

  2. A polygon has 44 diagonals. The number of the sides is :

    Text Solution

    |

  3. Find 'a' if the coefficients of x^(2) and x^(3) in the expanion of (3 ...

    Text Solution

    |

  4. Using binomial theorem. the value of (0.999)^3,correct to 3 decimal pl...

    Text Solution

    |

  5. The coefficient of x^n, where n is any positive integer, in the expans...

    Text Solution

    |

  6. If ""^(2n+1)P(n-1): ""^(2n-1)Pn =3:5 then the value of n equals :

    Text Solution

    |

  7. If|x|<1, then the coefficient of x^6 in the expansion of (1+x + x^2)^-...

    Text Solution

    |

  8. ""^15C0.""^5C5+""^15C1.""^5C4+""^15C2.""^5C3+ ""^15C3.^5C2+""^15C4.""^...

    Text Solution

    |

  9. Every body in a room shakes hand with every body else. The total numbe...

    Text Solution

    |

  10. ""^15C8+""^15C9-""^15C6-""^15C7=

    Text Solution

    |

  11. If the rth term in the expansion of (x/3-2/x^2)^10 contains x^4, then ...

    Text Solution

    |

  12. If 5^(99) is divided by 13, the remainder is

    Text Solution

    |

  13. The total number of terms in the expansion of (x+y)^100 after simplifi...

    Text Solution

    |

  14. If Pm stands for ""^mPm, then : 1+1.P1+2P2+3P3+.........+nPn is equal...

    Text Solution

    |

  15. The number of positive integers satisfying the inequality ""^(n+1)C(n-...

    Text Solution

    |

  16. The number of diagonals of a polygon of 20 sides is :

    Text Solution

    |

  17. he number of ways in which 5 boys and 5 girls can be seated for a phot...

    Text Solution

    |

  18. (""^8C0)/6-""^8C1+""^8C2 .6-""^8C3 .6^2+....+ ""^8C8 .6^7 =

    Text Solution

    |

  19. What is the smallest natural number n such that n ! is divisible by 99...

    Text Solution

    |

  20. What is the number of words formed from the letters of the word ‘JOKE’...

    Text Solution

    |