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

1

B

`1//2`

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Binomial Theorem Exerciese 7: Subjective Type Questions|5 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of x^(7) in the expansion of (ax^(2) + (1)/(bx))^(11) . (ii) the coefficient of x^(-7) in the expansion of (ax - (1)/(bx^2))^(11) . Also , find the relation between a and b , so that these coefficients are equal .

Write: coefficient of x^4 in 7x^2+9x+11x^4+13

Numerical coefficient of -11x^(2)yz is -11 .

Write: coefficient of x^2 in x^4+7x^3+9x^2+11

Write: coefficient of x in x^3+7x^2+9x+11 .

Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

Write: coefficient of x^3 in x^4+5x^3+7x^2+9x+11

Find the coefficient of x^n in the expansion of: (a+bx+cx^2)/e^x .

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

ARIHANT MATHS-BIONOMIAL THEOREM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The value of {:((30), (0))((30), (10))-((30), (1))((30),( 11)) +((30),...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. For natural numbers m ,n ,if(1-y)^m(1+y)^n=1+a1y+a2y^2+... , and a1=a2...

    Text Solution

    |

  5. In the binomial expansion of (a - b)^n , n ge 5 the sum of the 5th ...

    Text Solution

    |

  6. The sum of series .^(20)C0-^(20)C1+^(20)C2-^(20)C3+....+^(20)C 10 is

    Text Solution

    |

  7. Statement-1: sum(r =0)^(n) (r +1)""^(n)C(r) = (n +2) 2^(n-1) Stat...

    Text Solution

    |

  8. The reamainder left out when 8^(2n) - (62)^(2n+1) is divided by 9 is

    Text Solution

    |

  9. For r = 0, 1,"…..",10, let A(r),B(r), and C(r) denote, respectively, t...

    Text Solution

    |

  10. Let S(1) = sum(j=1)^(10) j(j-1).""^(10)C(j), S(2) = sum(j=1)^(10)j."...

    Text Solution

    |

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

    Text Solution

    |

  12. If n is a positive integer, then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is

    Text Solution

    |

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

    Text Solution

    |

  14. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

    Text Solution

    |

  15. If the coefficient of x^(3) and x^(4) in the expansion of (1+ax+bx^(2)...

    Text Solution

    |

  16. Coefficient of x^(11) in the expansion of (1+x^2)^4(1+x^3)^7(1+x^4)^(1...

    Text Solution

    |

  17. The sum of coefficient of integral powers of x in the binomial expansi...

    Text Solution

    |

  18. The coefficient of x^9 in the expansion of (1+x)(16 x^2)(1+x^3)(1+x^(1...

    Text Solution

    |

  19. If the number of terms in the expansion of (1-2/x+4/(x^(2)))^n x ne 0,...

    Text Solution

    |

  20. Let m be the smallest positive integer such that the coefficient of x^...

    Text Solution

    |