Home
Class 12
MATHS
If the coefficient of x^(7) in [ax^(2)+(...

If the coefficient of `x^(7)` in `[ax^(2)+((1)/(bx))]^(11)` equals the coefficient of `x^(-7)` in `[ax-((1)/(bx^(2)))]^(11)`, then a and b satisfy the relation:

A

`a-b=1 `

B

`a+b=1 `

C

`(a)/(b)=1 `

D

`a b=1 `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|221 Videos

  • CIRCLES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|272 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of x^(11)" in "(x^(3)-(2)/(x^(2)))^(12)

If the coefficient of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, then n is

If the coefficients of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, then n is

If the coefficient of x^(7) in the expansion of (ax^(2)+b^(-1)x^(-1))^(11) is equal to the coefficient of x^(-7) in (ax-b^(-1)x^(-2))^(11) , then ab equals:

The coefficient of x^(7) in the expansion of (1-x-x^(2)+x^(3))^(6) is:

int (ax^(2) + bx + c) dx

If the coefficients of x^(3) and x^(4) in the expansion of (1+ax+bx^(2))(1-2x)^(18) in powers of x are both zero, then (a,b) is equal to:

The sum of the coefficients in the expansion of (a x^(2)-2 x+1)^(35) is equal to sum of the coefficients in the expansion of (x-a y)^(35) , then a=

If the coefficents of x^(3) and x^(4) in the expansion of (1+ax + bx^(2)) (1-2x)^(18) in powers of x and both zero then (a,b) is equal to

HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The number of integral terms in the expansion of (sqrt(3)+root(8)(5))^...

    Text Solution

    |

  2. If the coefficient of rth, (r+1)th and (r+2)th terms in the binomial e...

    Text Solution

    |

  3. If the coefficient of x^(7) in [ax^(2)+((1)/(bx))]^(11) equals the coe...

    Text Solution

    |

  4. Let nge5 and bne0. In the binomial expansion of (a-b)^(n), the sum of ...

    Text Solution

    |

  5. The coefficient of x^(53) is sum(r=0)^(100) 100 C(r).(x-3)^(100-r). ...

    Text Solution

    |

  6. If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of x and x^...

    Text Solution

    |

  7. Coefficient of t^(24) in (1+t^(2))^(12)(1+t^(12))(1+t^(24)) is:

    Text Solution

    |

  8. In the expansion of (1+x)^(50), the sum of the coefficients of odd pow...

    Text Solution

    |

  9. Given the integers rgt1,ngt2 and coefficients of (3r)th and (r+2)nd te...

    Text Solution

    |

  10. The coefficient of the term independent of x in the expansion of (sqrt...

    Text Solution

    |

  11. The coefficient of x^(4) in the expansion of ((x)/(2)-(3)/(x^(2)))^(...

    Text Solution

    |

  12. In the expansion of (1+x)^(n) , coefficients of 2^(text (nd )) 3^(r...

    Text Solution

    |

  13. The coefficients of x in the expansion of (x^(2)+(c)/(x))^(5) is equ...

    Text Solution

    |

  14. The total number of terms in the expansion of (x+y)^(100)+(x-y)^(100) ...

    Text Solution

    |

  15. If the coefficients of r^(th) and (r+1)^(th) terms in the expansion o...

    Text Solution

    |

  16. If (1+x-2 x^(2))^(6)=1+a(1) x+a(z) x^(2)+l .. .+a(12) x^(12) then a(2...

    Text Solution

    |

  17. If the sum of the coefficients in the expansion of (x+y)^n is 1024 ...

    Text Solution

    |

  18. The coefficient of (1)/(x) in the expansion of ((1)/(x)+1)^(n)(1+x)^...

    Text Solution

    |

  19. Coefficient of x in the expansion of (x^(2)+(a)/(x))^(5)

    Text Solution

    |

  20. In the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has a t...

    Text Solution

    |