Home
Class 12
MATHS
If the magnitude of the coefficient of x...

If the magnitude of the coefficient of `x^(7)` in the expansion of `(ax^(2)+(1)/(bx))^(8)`, where a, b are positive numbers, is equal to the magnitude of the coefficient of `x^(-7)` in the expansion of `(ax-(1)/(bx^(2)))^(8)`, then a and b are connected by the relation

A

`ab=1`

B

`ab=2`

C

`a^(2)b=1`

D

`ab^(2)=2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2007

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|100 Videos
  • QUESTION PAPER 2009

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

Coefficient of x^n in the expansion of (a+x)^(2n)

Coefficient of x^n in the expansion of (1+x)^(2n) is

Find the coefficients of x^(-2) in the expansion of (3x-(7)/(x))^(8)

The coefficient of x^5 in the expansion of (1+x^2)(1+x)^4 is

The coefficient of x^3 in the expansion of (1-x+x^2)^5 is

Find the coefficients of x^(10) in the expansion of (1+x+x^(2))(1-x)^(8)

Find the coefficient of x^(-10) in the expansion of (a/x+b x)^(12) .

The coefficient of x^(-10) in the expansion of (x^2-1/x^3)^10 is

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

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

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2008-MULTIPLE CHOICE QUESTIONS
  1. If three real numbers a, b, c are in Harmonic Progression, then which ...

    Text Solution

    |

  2. A mappin f : N rarrN where N is the set of natural numbers is defined ...

    Text Solution

    |

  3. If the magnitude of the coefficient of x^(7) in the expansion of (ax^(...

    Text Solution

    |

  4. The mapping f:NrarrN given by f(n)=1+n^(2), n in N where N is the set ...

    Text Solution

    |

  5. A and B are two points on the Argand plane such that the segment AB is...

    Text Solution

    |

  6. A function f : A rarrB, where A={x:-1lexle1} and B={y//1leyle2} is def...

    Text Solution

    |

  7. The function f(x) which satisfies f(x)=f(-x)=(f'(x))/(x) is given by

    Text Solution

    |

  8. A function f(x) is defined as follows for real x f(x)={{:(1-x^(2),", f...

    Text Solution

    |

  9. Select the correct statement from (A), (B), (C ), (D). The function f(...

    Text Solution

    |

  10. The equation e^(x)+x-1=0 has, apart from x = 0

    Text Solution

    |

  11. The function f(x)=e^(ax)+e^(-ax),agt0 is monotonically increasing for

    Text Solution

    |

  12. Find the following: int 1/(x(x^7+1))dx

    Text Solution

    |

  13. If ""^(16)C(r)=""^(16)C(r+1) then the value of ""^(r)P(r-3) is

    Text Solution

    |

  14. The coefficient of x^(-10) in (x^(2)-(1)/(x^(3)))^(10) is

    Text Solution

    |

  15. If the matrix [(a,b),(c,d)] is commutative with the matrix [(1,1),(0,1...

    Text Solution

    |

  16. If 1,omega,omega^(2) are cube roots of unity, then |(1,omega^(n),omega...

    Text Solution

    |

  17. Let A={1,2,3} and B={2,3,4}, then which of the following relations is ...

    Text Solution

    |

  18. One possible condition for the three points (a,b),(b,a) and (a^(2),-b^...

    Text Solution

    |

  19. If the m^(th) term and the n^(th) term of an A.P. are respectively (1)...

    Text Solution

    |

  20. Find the following: int1^4abs[x-2]dx

    Text Solution

    |