Home
Class 12
MATHS
If a,b are positive integers, maximum v...

If a,b are positive integers, maximum value of `(x-a)^(a) (x-b)^(b)` occurs at x =

A

`(a+b)/(2)`

B

`sqrtab`

C

`(2ab)/(a+b)`

D

`log a+log b`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Level -2|69 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|14 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

If are positive integers, maximum value of x^(m) (a-x)^(n)" in (0,a) is :"

The minimum value of (x-a)(x-b) is

If m and n are positive integers and f(x) = int_1^x(t-a )^(2n) (t-b)^(2m+1) dt , a!=b , then

The function 'f' is defined by f(x)=x^p(1-x)^q for all x\ in R , where p ,\ q are positive integers, has a maximum value, for x equal to : (p q)/(p+q) (b) 1 (c) 0 (d) p/(p+q)

If x is real, then the maximum value of y=2(a-x)(x+sqrt(x^2+b^2))

If x is a positive integers and x+12=x^(2) , what is the value of x?

If a, b, c are positive integers, then ((a^(2)+b^(2)+c^(2))/(a+b+c))^(a+b+c)gta^(x)b^(y)c^(z) , then

If sin(30^(@) + " arc " tan x) = 13/14 " and " 0 lt x lt 1" , the value of x is " (a sqrt3)/b , where a and b are positive integers with no common factors . Find the value of ((a+b)/2) .

If the roots of the cubic equation, x^3+a x^2+b x+c=0 are three consecutive positive integers, then the value of (a^2//b+1) is equal to?

If the roots of the cubic, x^3+a x^2+b x+c=0 are three consecutive positive integers, then the value of a^2/(b+1) is equal to __________.

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-Level -1
  1. The local maximum value of f(x)=(sin^(2)x)/(sin^(2)x-sin^(2)a) (0 lt a...

    Text Solution

    |

  2. The function y=(a x+b)/((x-1)(x-4)) has turning point at P(2,1)dot The...

    Text Solution

    |

  3. If a,b are positive integers, maximum value of (x-a)^(a) (x-b)^(b) o...

    Text Solution

    |

  4. Given f(x) = tan(sqrt(pi^2/16 - x^2)) and A = R - [0,1]

    Text Solution

    |

  5. If the only point of inflection of the function f(x)-(x-a)^m(x-b)^n , ...

    Text Solution

    |

  6. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=p and x=q ...

    Text Solution

    |

  7. Verify Rolles theorem for the function f(x)=(x-a)^m(x-b)^n on the inte...

    Text Solution

    |

  8. If 2a+3b+6c=0, then prove that at least one root of the equation a x^2...

    Text Solution

    |

  9. Rolle’s theorem can not applicable for :

    Text Solution

    |

  10. The constant c of Lagrange’s theorem for f(x)=(x)/(x-1)" in "[2,4]" ...

    Text Solution

    |

  11. In [0, 1] Lagrange's mean value theorem is not applicable to

    Text Solution

    |

  12. The Lagrange's mean value theorem is not applicable to f(x) in [2, 4],...

    Text Solution

    |

  13. If f(x)=x^3+7x-1, then f(x) has a zero between x=0a n dx=1 . The theor...

    Text Solution

    |

  14. Let f(x)=8x^(3)-6x^(2)-2x+1, then

    Text Solution

    |

  15. Show that semi-vertical angle of a cone of maximum volume and given sl...

    Text Solution

    |

  16. Show that semi-vertical angle of right circular cone of given total su...

    Text Solution

    |

  17. A window is in the shape of a rectangle surmounted by a semi circle. I...

    Text Solution

    |

  18. A window of perimeter P (including the base of the arch) is in the ...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. The total area of a page is 150c m^2dot The combined width of the marg...

    Text Solution

    |