Home
Class 11
MATHS
Find the coefficient of x^7 in ( ax^(2) ...

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

Text Solution

Verified by Experts

The correct Answer is:
`ab=1`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    ICSE|Exercise CHAPTER TEST|14 Videos

  • BINOMIAL THEOREM

    ICSE|Exercise EXERCISE 13 (a)|27 Videos

  • BASIC CONCEPTS OF POINTS AND THEIR COORDINATES

    ICSE|Exercise CHAPTER TEST|2 Videos

  • CIRCLE

    ICSE|Exercise CHAPTER TEST |11 Videos

Similar Questions

Explore conceptually related problems

the coefficient of x^(7) in (ax - b^(-1) x^(-2))^(11) is

Find the coefficient of x^7 in (1+ x^2)^4 (1 + x)^7

Find the coefficient of a^5b^7in(a-2b)^(12)

Find the coefficient of a^5b^7in(a-2b)^(12)

Find the coefficient of x^11 in (2x^2 + (3)/(x^3))^13

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 .

If the coefficient of x^7 in (ax^2+1/(bx))^11 is equal to the coefficient of x^-7 in (ax-1/(bx^2))^11 then

If the coefficient of x^10 in (ax^2 + (1)/(bx))^11 is equal to the coefficient of x^(-10) in (ax - (1)/(bx^2))^11 then show that ab = -1

Find the coefficient of x^2 in (a/(a+x))^(1//2)+(a/(a-x))^(1//2)

Find the coefficient of a^5b^7""in""(a-2b)^(12)

ICSE-BINOMIAL THEOREM-EXERCISE 13 (b)
  1. Write down the fourth term in the binomial expansion of (px + (1)/(x) ...

    Text Solution

    |

  2. The expansion by the binomial theorem of (2 x + (1)/(8) )^(10) is 1024...

    Text Solution

    |

  3. The expansion by the binomial theorem of (2 x + (1)/(8) )^(10) is 1024...

    Text Solution

    |

  4. The expansion by the binomial theorem of (2 x + (1)/(8) )^(10) is 1024...

    Text Solution

    |

  5. Find the coefficient of x^7 in ( ax^(2) + (1)/( bx) )^(11) and the coe...

    Text Solution

    |

  6. In a binomial expansion, ( x+ a)^(n), the first three terms are 1, 56 ...

    Text Solution

    |

  7. Write the 4th term from the end in the expansion of ((x^3)/( 2) - (2)/...

    Text Solution

    |

  8. The coefficients of (2r +1)th and (r+2)th terms in the expansions of (...

    Text Solution

    |

  9. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

  10. Find the sixth term of the expansion of (y^(1//2) + x^(1//3) )^(n), if...

    Text Solution

    |

  11. Show that the coefficient of the middle term in the expansion of (1 + ...

    Text Solution

    |

  12. Show that the middle term in the expansion of (1+ x)^(2n) is (1.3.5…(...

    Text Solution

    |

  13. Find the coefficient of x^5 in the expansion of 1+(1+x)+ (1+x)^2 + … +...

    Text Solution

    |

  14. If x^p occurs in the expansion of (x^2 + (1)/(x) )^(2n), prove that it...

    Text Solution

    |

  15. If P be the sum of odd terms and Q be the sum of even terms in the exp...

    Text Solution

    |

  16. If P be the sum of odd terms and Q be the sum of even terms in the exp...

    Text Solution

    |

  17. If P be the sum of odd terms and Q be the sum of even terms in the exp...

    Text Solution

    |

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

    Text Solution

    |

  19. In the expansion of (x^(2) + (1)/(x) )^(n), the coefficient of the fou...

    Text Solution

    |

  20. The coefficient of x^(n) in the expansion of (1+x)(1-x)^(n) is

    Text Solution

    |