Home
Class 12
MATHS
Let coefficient of a^4b^2c^2d^6 in (a+b+...

Let coefficient of `a^4b^2c^2d^6` in `(a+b+c+d)^(14) i s A` Then is 'A' a multiple of 12?

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

" The coefficient of "a^(4)b^(3)c^(2)d" in "(a-b+c-d)^(10)" is "k" then "(k)/(100)=

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

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

If a. b, c and d are the coefficients of 2nd, 3rd, 4th and 5th terms respectively in the binomial expansion of (1+x)^n, then prove that a/(a+b) + c/(c+d) = 2b/(b+c)

Let a,b,c,d be the foru cosecutive coefficients int eh binomial expansion (1+x)^n On the basis of above information answer the following question: ((bc+ad)(b-c))/(ac^2-b^2d)= (A) 1/2 (B) 1 (C) -1 (D) 2

If a=7, b=5, c=3, then the value of a^2+b^2+c^2-a b-b c-c a i s -12 (b) 0 (c) 8 (d) 12

If the four consecutive coefficients in any binomial expansion be a,b,c and d then (A) (a+b)/a,(b+c)/b,(c+d)/c are in H.P. (B) (bc+ad)(b-c)=2(ac^2-b^2d) (C) b/a,c/b,d/c are in A.P. (D) none of these

If the four consecutive coefficients in any binomial expansion be a, b, c, d, then prove that (i) (a+b)/a , (b+c)/b , (c+d)/c are in H.P. (ii) (bc + ad) (b-c) = 2(ac^2 - b^2d)

If a^(2)+b^(2)+c^(2)-2a-4b6c= -14 then a+b+c =

RESONANCE DPP-JEE MAINS-All Questions
  1. intsqrt((cosx-cos^3x)/(1-cos^3x))dxi se q u a lto 2/3sin^(-1)(cos^(3...

    Text Solution

    |

  2. The area bounded by the curves y""=""cos""x""a n d""y""="sin""x betwe...

    Text Solution

    |

  3. Let coefficient of a^4b^2c^2d^6 in (a+b+c+d)^(14) i s A Then is 'A' ...

    Text Solution

    |

  4. Let f(x)=sqrt(|x|-{x})(w h e r e{dot} denotes the fractional part of ...

    Text Solution

    |

  5. Square of the distance between the integral points of intersection ...

    Text Solution

    |

  6. int 1/ sqrt (a^2 + x^2) dx = log ( x + sqrt(x^2 + a^2) + c

    Text Solution

    |

  7. The expression (x+((x^3-1)^(1/2))/2)^5+""(x-((x^3-1)^(1/2))/2)^5 is a...

    Text Solution

    |

  8. If veca,vecb and vecc are non coplaner vectors such that vecbxxvecc=ve...

    Text Solution

    |

  9. A vector of magnitude sqrt(2) coplanar with the vecrtor vec a= hat i...

    Text Solution

    |

  10. vecalpha and vecbeta are two unit vectos and vecr is a vector such tha...

    Text Solution

    |

  11. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

    Text Solution

    |

  12. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40...

    Text Solution

    |

  13. Let f(x)={x^2+x ; -1 leq x lt 0 and lambda ;x=0 and log(1/2)(x+1/2) ;...

    Text Solution

    |

  14. Find the distance of the point (2, 3, -5) from the plane x+2y-z-9=0.

    Text Solution

    |

  15. f(x) is a continuous function for all real values of x and satisfies i...

    Text Solution

    |

  16. If 3xx3 order matrix A is such that det(A)= 2 then |A(a d jA)| is (a...

    Text Solution

    |

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

    Text Solution

    |

  18. if set A and B are defined as A={(x,y):y=e^(x),x in R} B={(x,y):y=...

    Text Solution

    |

  19. Find the area bounded by a . y = (log)e|x|a n dy=0 b y=|(log)3|x...

    Text Solution

    |

  20. If underset0oversetx intf(t)dt=x^2+undersetxoverset1 intt^2f(t)dt, the...

    Text Solution

    |