Home
Class 11
MATHS
The minimum value of ((A^(2)+A+1)(B^(2)+...

The minimum value of `((A^(2)+A+1)(B^(2)+B+1)(C^(2)+C+1)(D^(2)+D+1))/(BACD)` , wher A,B,C,D are positive

A

`3^(4)`

B

`3^(-4)`

C

`2^(4)`

D

`3^(-4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (LECTURE SHEET )(ADVANCED)) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|10 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (LECTURE SHEET )(ADVANCED)) (MATRIX MATCHING TYPE QUESTIONS)|2 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II)(INTEGER TYPE QUESTIONS)|4 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos
  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

If 1/(x^(4)+x^(2)+1)=(Ax+B)/(x^(2)+x+1)+(Cx+D)/(x^(2)-x+1) " then "C+D=

|(1,a,a^(2)),(1,b,b^(2)),(1,c,c^(2))|=

If (3x^(2)+x+1)/(x-1)^(4)=A/(x-1)+B/(x-1)^(2)+C/(x-1)^(3)+D/(x-1)^(4) " then " A+B-C+D=

If a,b,c,d,e are +ve real number such that a+b+ c+ d+e= 8 and a^(2) + b^(2) + c^(2) + d^(2) + e^(2) = 16 then the range of 'e' is

If (sin^(-1)a)^(2)+(cos^(-1)b)^(2)+(sec^(-1)c)^(2)+(cosec^(-1)d)^(2)=(5pi)^(2)/2 , then the value of (sin^(-1)a)^(2)-(cos^(-1)b)^(2)+(sec^(-1)c)^(2)-(cosec^(-1)d)^(2) is equal to

Evaluate Lt_(xtooo)(1+1/(ax+b))^(cx+d) where a, b, c, d are positive constants.

The points A(2,-1,4),B(1,0,-1),C(1,2,3) and D(2,1,8) form a

AAKASH SERIES-MAXIMA AND MINIMA -ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN)) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The minimum value of ((A^(2)+A+1)(B^(2)+B+1)(C^(2)+C+1)(D^(2)+D+1))/(B...

    Text Solution

    |

  2. Let a,b,c,d,e,f,g,h be distinct elements in the set {-7,-5,-3,-2,2,4,6...

    Text Solution

    |

  3. Use the function f(x)=x^((1)/(x))(xgt0) to ascertain whether p^(e) or ...

    Text Solution

    |

  4. Find the greatest and least value of the function f(x)=|(1+x)/(1-x)| ...

    Text Solution

    |

  5. The number of solutions of the equation x^(3)+2x^(2)+5x+2cosx=0 in [0,...

    Text Solution

    |

  6. If f(x) = a log |x| + bx^(2) + x has extreme values at x = -1 and x = ...

    Text Solution

    |

  7. If f(x)=(x)/(sinx)andg(x)=(x)/(tanx), where 0ltxle1 , then in this int...

    Text Solution

    |

  8. For all a ,b I R the functio f(x)=3x^(4)-4x^(3)+6x^(2)+ax+b has

    Text Solution

    |

  9. There are 50 apple trees in an orchard Each tree produces 800 apples ....

    Text Solution

    |

  10. Let f:RtoR be a differentiable function AAxinR . If the tangent drawn ...

    Text Solution

    |

  11. If f(x)=|x|-{x} where {x} denotes the fractional part of x , then f(x)...

    Text Solution

    |

  12. Function f(x)=|x|-|x-1| is monotonically increasing when

    Text Solution

    |

  13. If f(x)=x+sinx,g(x)=e^(-x),u=sqrt(x+1)-sqrt(c )v=sqrt(c )-sqrt(c-1)(cg...

    Text Solution

    |

  14. f(x)=|xlog(e )x|monotonically decreases in

    Text Solution

    |

  15. Given that f(x)gtg(x) for all real x, and f(0)=g(0). Then f(x)ltg(x)...

    Text Solution

    |

  16. Let f(x) be a function defined as follows : f(x)=sin(x^(2)-3x),xle0,an...

    Text Solution

    |

  17. The number of real roots of the equation e^(x-1)+x-2=0 is

    Text Solution

    |

  18. The greatest value of the function f(x)=(sin2x)/(sin(x+(pi)/(4))) on t...

    Text Solution

    |

  19. A function f is defined by f(x)=|x|^(m)|x-1|^(n)AAx inR . The local ma...

    Text Solution

    |

  20. Let the function f (x) be defined as follows : f(x)={{:(x^(3)+x^(2)-10...

    Text Solution

    |