Home
Class 11
MATHS
Find the coefficient of a^(5)b^(7) in (a...

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

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

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

Find the coefficient of a^(2)b^(3)c^(4)d in the expansion of (a-b-c+d)^(10) .

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 .

Find the coefficient of a^-6 b^4 in the expansion of (1/a-(2b)/3)^10 .

Find the product: (a+7)(b-5)

Find the product: (a^2+2b^2)(5a-3b)

Find the value of : 64a^3+125b^3 , if 4a+5b=-22,ab=-12 .

B= (5/2+x/2)^n , A= (1 + 3x)^m Sum of coefficients of expansion of B is 6561 . The difference of the coefficient of third to the second term in the expansion of A is equal to 117 . If n^(m) is divided by 7 , the remainder is

Find the using distributivity {(7)/(5)xx((-3)/(12))}+ {(7)/(5)xx(5)/(12)}

MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. Find 'a' if the coefficients of x^(2) and x^(3) in the expanion of (3 ...

    Text Solution

    |

  2. Find the value of r if the coefficients of (2r+4)th and (r - 2) th ter...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the coefficient of a^4 in the expansion of the product (1+ 2a)^4 ...

    Text Solution

    |

  5. In the binomial expansion (a+b)^n, the coefficients of fourth and thir...

    Text Solution

    |

  6. In the binomial expansion of (1+x)^34, the coefficients of the (2r-1)t...

    Text Solution

    |

  7. Which term is independent of x in the expansion of (2x^2 +1/x)^12 ? An...

    Text Solution

    |

  8. Write and simplify the term independent x in the expansion of (x^2-2/x...

    Text Solution

    |

  9. Write and simplify the term independent of x in the expansion of (x-1/...

    Text Solution

    |

  10. Find the term independent of x, x ne 0 in the expansion of : (x-1/x)...

    Text Solution

    |

  11. Find the term independent of x in the expansion of ((3)/(2) x^(2) -...

    Text Solution

    |

  12. Find the term independent of x, x ne 0 in the expansion of : (x^2+3/...

    Text Solution

    |

  13. Find the term independent of x, x ne 0 in the expansion of : (3-x^3/...

    Text Solution

    |

  14. Write and simplify the coefficient of the term independent of x, in th...

    Text Solution

    |

  15. Find the greatest term in (x+y)^n, when x=11, y=4, n = 30.

    Text Solution

    |

  16. Find the greatest term in (1+ 4x)^8, when x=1/3.

    Text Solution

    |

  17. Find a, b and n in the expansion of (a + b)^(n) if the first three ter...

    Text Solution

    |

  18. The first three terms in the expansion of a binomial are 1, 10 and 40....

    Text Solution

    |

  19. The coefficients of three consecutive terms in the expansion of (1+a)^...

    Text Solution

    |

  20. The coefficients of three consecutive terms in the expansion of (1+a)^...

    Text Solution

    |