Home
Class 12
MATHS
If ax+(b)/(x) ge c, AA a gt 0 and a,b,c...

If ` ax+(b)/(x) ge c, AA a gt 0 and a,b,c ` are positive constant then

A

`ab ge (c^(2))/(4)`

B

`ab le (c^(2))/(4)`

C

`bc ge (a^(2))/(4)`

D

`ac ge (b^(2))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option are correct ))|1 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option is correct ))|5 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-A (Competition Level Questions)|50 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

If ax^(2)+b/x ge c, AA x gt0 , where agt0,bgt0 then

Let A=(a,b) and B=(c,d) where c gt a gt 0 and d gt b gt 0 . Then, point C on the X-axis such that AC + BC is the minimum, is:

If f(x) is a function satisfying f(x+a)+f(x)=0 for all x in R and positive constant a such that int_(b)^(c+b)f(x)dx is independent of b, then find the least positive value of c.

If ax+(b)/(x)>=c for all positive xa,b>0, then

If ax+(b)/(x)>=c for all positive x, where a,b,c>0, then-

Let a, b, c in R be such that a + b + c lt 0, a - b + c lt 0 and c gt 0 . If alpha and beta are roots of the equation ax^(2) + bx + c = 0 , then value of [alpha] + [beta] is

If a, b, c, d are all positive and the sum of any three is greater than twice the fourth, then show that, aa b c d gt (b + c + d - 2a) (c + d + a - 2b) (d + a + b - 2c) (a + b + c-2d) .

AAKASH INSTITUTE-APPLICATION OF DERIVATIVES-Assignment SECTION-B( Objective Type Questions ( One option is correct ))
  1. The function f, defined by f(x)=(x^(2))/(2) +In x - 2 cos x increas...

    Text Solution

    |

  2. f(x) =xe^(x(1-x)), then f(x) is

    Text Solution

    |

  3. Which of the following is correct ?

    Text Solution

    |

  4. Find the value of a , if the equation x-sinx=a has a unique r...

    Text Solution

    |

  5. Number of real roots of the equation e^(x-1)-x=0 is

    Text Solution

    |

  6. f(x)=(x)/(sinx ) and g(x)=(x)/(tanx) , where 0 lt x le 1 then in the...

    Text Solution

    |

  7. If f(x)=(p^2-1)/(p^2+1) x^3-3x + log 2 is a decreasing function of x.i...

    Text Solution

    |

  8. Let f(x) = (x-p)^2+ (x -q)^2 + (x - r)^2. Then f(x) has a minimum at ...

    Text Solution

    |

  9. The maximum value of ((1)/(x))^(2x^(2)) is

    Text Solution

    |

  10. If f(x)=alog|x|+b x^2+x has its extremum values at x=-1a n dx=2, then ...

    Text Solution

    |

  11. If x in [-1,1] then the minimum value of f(x)=x^(2)+x+1 is

    Text Solution

    |

  12. If ax+(b)/(x) ge c, AA a gt 0 and a,b,c are positive constant then

    Text Solution

    |

  13. Let x be a number which exceeds its square by the greatest possible qu...

    Text Solution

    |

  14. The point (0,3) is nearest to the curve x^(2)=2y at

    Text Solution

    |

  15. Let f(x) be a function defined as below : f(x)=sin(x^(2)-3x) ,x le...

    Text Solution

    |

  16. If lambda, mu be real numbers such that x^3-lambda x^2 + mux-6=0 has i...

    Text Solution

    |

  17. The value of c in Lagrange's mean value theorem for the function f(x) ...

    Text Solution

    |

  18. If a, b, c, d are real numbers such that (3a + 2b)/(c+d)+3/2=0 the...

    Text Solution

    |

  19. If the least area of triangle formed by tangent,normal at any point P ...

    Text Solution

    |

  20. Let f''(x) gt 0 AA x in R and let g(x)=f(x)+f(2-x) then interval of ...

    Text Solution

    |