Home
Class 12
MATHS
The value of k in order that f(x)=sin x-...

The value of k in order that `f(x)=sin x-cos x-kx +b` decrease for all real values is given by :

A

` a ge sqrt2`

B

`a ge 1`

C

`a lt sqrt2`

D

`a lt 1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos

  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

y = x(x-3)^(2) decreases for the values of x given by

The greatest value of sin x cos x is

The maximum value of sin x. cos x is

For real values of x, the expression ((x - b) (x - c))/((x - a)) will assume all real values provided :

The least value of 3 sin x-4 cos x+7 is

Let f(x) = [(x^(2),x le 0),(ax + b, x gt 0)] lim The values of a and b for which the function f(x) is continuous on the whole real line is :

The number of integral values of K the inequality |(x^2+kx+1)/(x^2+x+1)|<3 is satisfied for all real values of x is....

If a lt 0 , the function f(x)=e^(ax)+e^(-ax) is decreasing for all values of x, where

The maximum value of y=a cos x + b sin x is

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. The condition f(x) = x^(3)+px^(2)+qx+r (x in R) to have no extreme val...

    Text Solution

    |

  2. If m and M respectively the minimum and maximum of f(x)=(x-1)^(2)+3 fo...

    Text Solution

    |

  3. Let, f(x) = int0^(x) (cos t)/t dt. Then x = (2n+1) pi/2, f(x) has

    Text Solution

    |

  4. The point of extremum of the function phi (x) = int1^(x) e^(t^(2)/2) (...

    Text Solution

    |

  5. If f'(x)=(x-a)^(2n)(x-b)^(2p+1), when n and p are positive integers, t...

    Text Solution

    |

  6. If f(x) = kx^(3) - 9x^(2) +9x + 3 is increasing on R then

    Text Solution

    |

  7. If h(x) = f(x) + f(-x) then h(x) has got an extreme value at a point w...

    Text Solution

    |

  8. If a lt 0, the function f(x)=e^(ax)+e^(-ax) is decreasing for all valu...

    Text Solution

    |

  9. If a lt 0, f(x) = e^(ax) + e^(-ax) and S = {x: f(x) is monotonically ...

    Text Solution

    |

  10. If y = a logx + bx^(2) + x has its extremum value at x = -1 and x = 2,...

    Text Solution

    |

  11. f(x) = ((e^(2x)-1)/(e^(2x)+1)) is

    Text Solution

    |

  12. If f(x) = 2x^(3)-21x^(2)+36x-30, then for f(x) which one of the follow...

    Text Solution

    |

  13. The value of k in order that f(x)=sin x-cos x-kx +b decrease for all r...

    Text Solution

    |

  14. The maximum area of a rectangle that can be inscribed in a circle of r...

    Text Solution

    |

  15. The maximum value of (logx)/(x) in (2,oo) is

    Text Solution

    |

  16. The minimum value of 26^(cos 2x) 81 ^(sin 2x) is

    Text Solution

    |

  17. A wire of lenggth 20 cm is bent in the form of a sector of a circle. T...

    Text Solution

    |

  18. The set of real values of x for which f(x)=(x)/(logx) is increasing is...

    Text Solution

    |

  19. Let x be a number which exceeds its square by the greatest possible qu...

    Text Solution

    |

  20. The maximum value of ((1)/(x))^(2x^(2)) is :

    Text Solution

    |