Home
Class 11
MATHS
The coefficient of a^8b^4c^9d^9 in (a b ...

The coefficient of `a^8b^4c^9d^9` in `(a b c+a b d+a c d +b c d)^(10)` is

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

The coefficient of t^4 in ((1-t^6)/(1-t))^3 (a) 18 (b) 12 (c) 9 (d) 15

The sum of all the coefficients of the expansion of (a+b+c+d)^(8) which contains b but not c is (a) 729 (b) 6305 (c) 665 (d) 1024

a ,b ,c x in R^+ such that a ,b ,and c are in A.P. and b ,c and d are in H.P., then a b=c d b. a c=b d c. b c=a d d. none of these

If a ,b ,and c are in A.P., then a^3+c^3-8b^3 is equal to (a). 2a b c (b). 6a b c (c). 4a b c (d). none of these

Distance between the points (a+b, c-d) and (a-b, c+d) is

If (a + b + c + d) (a - b - c + d) = (a + b - c - d) (a - b + c - d) , then prove that a : b = c : d

Find distace between the points (a+b,c-d) and (a-b,c+d).

If a ,b ,c ,d in R^+ and a ,b ,c,d are in H.P., then (a) a+d > b+c (b) a+b > c+d (c) a+c > b+d (d)none of these

If a : b = c : d , then prove that (a + c) : (b + d) = sqrt(a^(2) - c^(2)) : sqrt(b^(2) - d^(2))

If a variable tangent to the curve x^2y=c^3 makes intercepts a , b on x a n d y-a x e s , respectively, then the value of a^2b is (a) 27c^3 (b) 4/(27)c^3 (c) (27)/4c^3 (d) 4/9c^3

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. The coefficient of x^2y^3 in the expansion of (1-x+y)^(20) is (a)(20 !...

    Text Solution

    |

  2. The coefficient of x^5 in the expansion of (x^2-x-2)^5 is

    Text Solution

    |

  3. The coefficient of a^8b^4c^9d^9 in (a b c+a b d+a c d +b c d)^(10) is

    Text Solution

    |

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

    Text Solution

    |

  5. If (1+x)^5=a0+a1x+a2x^2+a3x^3+a4x^4+a5x^5, then the value of (a0-a2+a4...

    Text Solution

    |

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

    Text Solution

    |

  7. The coefficient of x^(28) in the expansion of (1+x^(2)-x^(6))^(30) is

    Text Solution

    |

  8. The coefficient of x^(n) in (1+x)^(101) (1-x+x^(2))^(100) is nonzero, ...

    Text Solution

    |

  9. prove that sum(r=0)^n(-1)^r^n Cr. [1/(2^r)+(3^r)/(2^(2r))+(7^r)/(2^(...

    Text Solution

    |

  10. In the expansion of (7^(1//3)+11^(1//9))^(6561) ,

    Text Solution

    |

  11. If for z as real or complex, (1+z^2+z^4)^8=C0+C1z^2+C2z^4+...+C(16)z^(...

    Text Solution

    |

  12. The sum of the coefficient in the expansion of (1+ax-2x^(2))^(n) is

    Text Solution

    |

  13. if the 4^(th) term in the expansion of (ax+1)^(n) is 5//2, then

    Text Solution

    |

  14. Number of values of r satisfying the equation ,^69C(3r-1) -^(69)C(r^2)...

    Text Solution

    |

  15. If (4+sqrt(15))^n=I+f,where n is an odd natural number, I is an intege...

    Text Solution

    |

  16. In the expansion of (x+a)^n if the sum of odd terms is P and the sum o...

    Text Solution

    |

  17. If the coefficients of the rth, (r+1)t h ,(r-2)t h terms is the expans...

    Text Solution

    |

  18. The value/value of x in the expression (x+x^(log(10)x))^(5)if the thir...

    Text Solution

    |

  19. Let R=(5 sqrt 5+11)^(2n+1) and f=R-[R] where [] is the greatest intege...

    Text Solution

    |

  20. If |x| lt 1, then the coefficient of x^(n) in expansion of (1+x+x^(2)+...

    Text Solution

    |