Home
Class 12
MATHS
The minimum value of the function f(x)=2...

The minimum value of the function `f(x)=2|x-2|+5|x-3|` for all `"x"inR` is

A

a)3

B

b)2

C

c)5

D

d)7

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

The minimum value of the function f(x)=2|x-1|+|x-2| is

The minimum value of the function f(x)=2|x-1|+|x-2| is -

The minimum value of the function f(x)=x^(2)-x+2 is -

The maximum value of the function f(x)=5-x-x^(2) is -

The minimum value of the function f(x)= sin x + cos x is-

Find the minimum value of the function x^3-7x^2+8x+5

Determine the maximum and minimum values of the function f(x)=2x^3-15x^2+36x+10

The minimum value of the function defined by f(x)=max {x,x+1,2-x} is

The minimum value of f(x)=2x^(2)+x-1 is-

Find the minimum value of the function f(x)=(1+sinx)(1+cosx),AAx inR .

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. If Y=((ax-b))/((x-4)(x-1)) has extreme value at (2,-1) then the value...

    Text Solution

    |

  2. The number of critical points of the function f(x)=|x|e^(-x) must be

    Text Solution

    |

  3. The minimum value of the function f(x)=2|x-2|+5|x-3| for all "x"inR is

    Text Solution

    |

  4. The coordinates of the point on the parabola y^2=8x which is at a mini...

    Text Solution

    |

  5. If f(x)=|x|+|x-1|+|x-2|, then

    Text Solution

    |

  6. Let f(x) be a function defined as f(x)= {(sin(x^2-3x),xle0),(6x+5x^2,x...

    Text Solution

    |

  7. Let f(x)={(2-|x^2+5x+6|,x!=-2),(a^2+1,x=-2):} then value of 'a' so tha...

    Text Solution

    |

  8. Let f(x)={(|x^2-2|,-1lexltsqrt3),(x/sqrt3,sqrt3lexlt2sqrt3),(3-x,2sqrt...

    Text Solution

    |

  9. The minimum value of atan^2x+bcot^2x equals the maximum value of asin^...

    Text Solution

    |

  10. All the possible values of the paramter 'a' so that the function ,f(x)...

    Text Solution

    |

  11. The equation of the tangent to the curve y={(x^2sin"1/x,xne0),(0,x=0):...

    Text Solution

    |

  12. The equation of the normal to the curve y=e^(-2|x| at the point where ...

    Text Solution

    |

  13. If the tangent to the curve 2y^3=ax^2+x^3 at the point (a,a) cuts off ...

    Text Solution

    |

  14. At the point P(a,a^n) on the graph of y=x^n(ninN) in the first quadran...

    Text Solution

    |

  15. The point (s) on the curve y^3+3x^2=12y where line tangent is vertical...

    Text Solution

    |

  16. The area of the triangle formed by the positive x-axis, and the normal...

    Text Solution

    |

  17. The function f satisfying (f(b)-f(a))/(b-a)nef'(x) for any "x"in(a,b) ...

    Text Solution

    |

  18. Suppose that f is differntiable for all x such that f'(x)le2 for all x...

    Text Solution

    |

  19. f(x) is a polynomial of degree 4 with real coefficients such that f(x)...

    Text Solution

    |

  20. If f(x) is differentiable and strictly increasing function, then the v...

    Text Solution

    |