Home
Class 12
MATHS
The minimum value of (x-a)(x-b) is...

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

A

ab

B

`((a-b)^2)/4`

C

0

D

`(-(a-b)^2)/4`

Text Solution

Verified by Experts

The correct Answer is:
D
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

The minimum values of (x-alpha)(x-beta) is

The minimum value of (x-alpha)(x-beta) is

The minimum value of (x - 2) (x-9) is

If x>0 then the minimum value of x^(x) is

When x is positive, the minimum value of x^(x) is

The minimum value of x^(x) is attained when x is equal to

If f(x)=sin(2x)+5 then the minimum value of f(x) is

If f(x)=sin(2x)+5 then the minimum value of f(x) is

If A=x^(2)+(1)/(x^(2)),B=x-(1)/(x) then minimum value of (A)/(B) is

OBJECTIVE RD SHARMA-MAXIMA AND MINIMA -Exercise
  1. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

    Text Solution

    |

  2. The minimum value of (1+1/(sin^nalpha))(1+1/(cos^nalpha)) is

    Text Solution

    |

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

    Text Solution

    |

  4. The attitude of a right circular cone of minimum volume circumscired a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |