Home
Class 12
MATHS
Find the value of a in order that f(x)=s...

Find the value of `a` in order that `f(x)=sqrt(3)sinx-cosx-2a x+b` decreases for all real values of `xdot`

A

`a lt 1`

B

`a ge 1`

C

`a ge sqrt2`

D

`a lt sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
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

The value of K in order that f(x)=sinx-cosx-K x+5 decreases for all positive real value of x is given by

Find the values of a for which the function f(x)=(a+2)x^3-3a x^2+9a x-1 decreasing for all real values of xdot

Find the values ' a ' for which the function f(x)=(a+2)x^3-3a x^2+9a x-1 decreases for all real values of x .

The value of p so that the function f(x) i= sin x - cos x - px + q decreases for all real values of x is given by

Show that for a >=1,f(x)=sqrt(3)sinx-cosx-2a x+b is decreasing on Rdot

Show that for ageq1,\ \ f(x)=sqrt(3)sinx-cosx-2a x+b is decreasing on R .

Show that for alt=1,f(x)=sqrt(3) si nx-cosx-2a x+b is decreasing on Rdot

Find the value of x for which f(x)=sqrt(sinx-cosx) is defined, x in [0,2pi)dot

Find all values of f(x) for which f(x) =x+sqrt(x^2)

Find all values of f(x) for which f(x) =x+sqrt(x^2)

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-Level -1
  1. f (x) =2x -tan ^(-1) x - ln (x+ sqrt(1+ x ^(2)))

    Text Solution

    |

  2. Write the set of values of a for which f(x)=cosx+a^2\ x+b is strictly ...

    Text Solution

    |

  3. Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreas...

    Text Solution

    |

  4. Find the range of values of a if f(x)=2e^x-a e^(-x)+(2a+1)x-3 is monot...

    Text Solution

    |

  5. If f (x)=a ln |x| +bx^(2) +x has extremas at x=1and x=3 then:

    Text Solution

    |

  6. if f(x) ={{:(-x=(pi)/(2),xle -(pi)/(2)),(- cos x, -(pi)/(2)lt x ,le 0...

    Text Solution

    |

  7. The function f(x)=(x^2-4)^n(x^2-x+1),n in N , assumes a local minimum...

    Text Solution

    |

  8. The function f(x)=|x^2-2|/|x^2-4| has, (a) no point of local maxima ...

    Text Solution

    |

  9. Let f(x)={:{(6","xle1),(7-x","xgt1):} 'then for f(x) at x=1 discuss ma...

    Text Solution

    |

  10. If xy =10, then minimum value of 12x^2 + 13y^2 is equal to :

    Text Solution

    |

  11. If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}

    Text Solution

    |

  12. Let f(x)={:{(|x-2|+a^(2)-9a-9","ifxlt2),(2x-3"," if xge2):} Then, f...

    Text Solution

    |

  13. Let f(x)={{:(,x^(3)+x^(2)-10x,-1 le x lt 0),(,cos x,0 le x lt pi/2),(,...

    Text Solution

    |

  14. The third derivative of a function f'''(x) vanishes for all f(0)=1,f'(...

    Text Solution

    |

  15. The least value of alpha in R for which 4ax^2+(1)/(x)ge1, for all xgt ...

    Text Solution

    |

  16. The number of critical points of f(x)=max{sinx,cosx},AAx in(-2pi,2pi),...

    Text Solution

    |

  17. Let f(x) = Maximum {sin x, cos x} AA x in R. minimum value of f (x) ...

    Text Solution

    |

  18. The tangent, represented by the graph of the function y=f(x), at the p...

    Text Solution

    |

  19. Let the function f(x) be defined as below f(x)=sin^(-1) lambda+x^2 whe...

    Text Solution

    |

  20. The function f(x)=x^x decreases on the interval (a) (0,\ e) (b) (0,\ ...

    Text Solution

    |