Home
Class 12
MATHS
Let a,b,c be positive real parameter and...

Let a,b,c be positive real parameter and `ax^3+ b/x^2gec, AA xepsilonR` then (A) `4abgec^2` (B) `4cgeb^2` (C) `4bcgec^2` (D) `4acltb^2`

A

`4ab ge c^2`

B

`4ac ge b^2`

C

`4bc ge a^2`

D

`4ac lt b^2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|7 Videos

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos

  • MEASURES OF CENTRAL TENDENCY

    OBJECTIVE RD SHARMA|Exercise Chapter Test|21 Videos

Similar Questions

Explore conceptually related problems

Let a,b,c be positive real parameter and ax^2+ b/x^2gec, AA xepsilonR then (A) c^2ge4ab (B) 4cgeb^2 (C) 4bcgec^2 (D) 4acltb^2

Let a,b,c be positive real numers such that bx^2+(sqrt(((a+c)^2+4b^2))x +(a+c),=0, AA x epsilon R, then a,b,c are in (A) G.P. (B) A.P. (C) H.P. (D) none of these

If a,b,c, are positive numbers such that 2a+3b+4c=9, then

If a,b,c are positive real numbers such that a +b+c=18, find the maximum value of a^(2)b^(3)c^(4)

If a,b,c are positive real numbers and 2a+b+3c=1 , then the maximum value of a^(4)b^(2)c^(2) is equal to

Let a,b,c , d ar positive real number such that a/b ne c/d, then the roots of the equation: (a^(2) +b^(2)) x ^(2) +2x (ac+ bd) + (c^(2) +d^(2))=0 are :

Let a,b,c be three distinct positive real numbers then number of real roots of ax^2+2b|x|+c=0 is (A) 0 (B) 1 (C) 2 (D) 4

Let a,b and c be three real numbers,such that a+2b+4c0. Then the equation ax^(2)+bx+c=0

Let a,b,c be positive numbers,then the minimum value of (a^(4)+b^(4)+c^(2))/(abc)

Let a,b,c be positive real numbers in H.P. Statement -1: (a+b)/(2a-b)+(c+b)/(2c-b)ge4 Statement-2: (a)/(b)+(b)/(c)+(c)/(a)ge3

OBJECTIVE RD SHARMA-MAXIMA AND MINIMA -Exercise
  1. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

    Text Solution

    |

  2. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

    Text Solution

    |

  3. The maximum and minimum values of y=(ax^2+2bx+c)/(Ax^2+2Bx+C) are thes...

    Text Solution

    |

  4. In a A B C ,/B=90^0a n db+a=4. The area of the triangle is maximum wh...

    Text Solution

    |

  5. The function f(x) given by f(x)=|{:(x-1", "x+1", "2x+1),(x+1", ...

    Text Solution

    |

  6. Maximum area of a reactangle which can be inscribed in a circle of a...

    Text Solution

    |

  7. f(x)={{:(3x^(2)+12x-1,-1lexle2),(37-x",",2ltxle3):} Which of the fol...

    Text Solution

    |

  8. The perimeter of a sector is p. The area of the sector is maximum when...

    Text Solution

    |

  9. If a^(2)x^(4) + b^(2)y^(4)=c^(6), then maximum value of xy is

    Text Solution

    |

  10. The function int(-1)^(1)t(e^t-1)(t-1)(t-2)^3(t-3)^tdt has local mini...

    Text Solution

    |

  11. Let f(x) be a function such that f'(a) ne 0 . Then , at x=a, f(x)

    Text Solution

    |

  12. Let a,b,c be positive real parameter and ax^3+ b/x^2gec, AA xepsilonR ...

    Text Solution

    |

  13. If xy=a^2 and S = b^2x + c^2y where a, b and c are constants then the ...

    Text Solution

    |

  14. Let f(x)=e^x sinx , slope of the curvery y=f(x) is maximum at x=a if '...

    Text Solution

    |

  15. If a gt b gt0 then maximum value of (ab(a^2-b^2)sinxcosx)/(a^2sin^2...

    Text Solution

    |

  16. The maximum value of the function f(x)=(1+x)^(0.3)/(1+x^(0.3)) in [0,1...

    Text Solution

    |

  17. If g(x)=max(y^(2)-xy)(0le yle1), then the minimum value of g(x) (for...

    Text Solution

    |

  18. Let f(x)=(sinx-cosx+sqrt2)/(x^(3//2)), " where "x in [pi/4,(5pi)/4] . ...

    Text Solution

    |

  19. If a,b,c are positive constants such that agtb then the maximum value...

    Text Solution

    |

  20. Let f(x)=In (2x-x^2)sin"(pix)/2. Then

    Text Solution

    |