Home
Class 12
MATHS
The value of K in order that f(x)=sinx-c...

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

A

`Klt1`

B

`Kge1`

C

`Kgtsqrt(2)`

D

`Kltsqrt(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2016

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

  • QUESTION PAPER 2018

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

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

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

Prove that, f(x) =x+2+(x-2)e^(x) is positive for all positive values of x.

The value of 'a' for which the function f(x)= sinx-cosx-ax+b decreases for x inR is given by

Show that f(x) = (x-2)e^x + x + 2 is positive for all positive values of x.

If f(x) = (x-1)e^x + 1 , show that f(x) is positive for all positive values of x.

The value of f(x)=sinx+cosx at x=45^@ is

If f(x)=(x-1) e^(x)+1 , show that f(x) is positive for all positive values of x.

Let a and b be real numbers such the the function f(x)={(-3ax^2-2,x is differentiable for all x inR . The positive value(s) of a is (are)

If e^(sinx)-e^(-sinx)-4=0 , then the number of real values of x is

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2017-Multiple Choice Questions
  1. Let l=int(0)^(100pi)sqrt((1-cos2x))dx, then

    Text Solution

    |

  2. The area of the figure bounded by the parabolas x=-2y^(2) and x=1-3y^(...

    Text Solution

    |

  3. Tangents are drawn to the ellipse (x^(2))/(9)+(y^(2))/(5)=1 at the end...

    Text Solution

    |

  4. The value of K in order that f(x)=sinx-cosx-Kx+5 decreases for all pos...

    Text Solution

    |

  5. For any vector vecx. Then value of (vecx xx hati)^(2)+(vecx xx hatj)^(...

    Text Solution

    |

  6. If the sum of two unit vectors is a unit vector. Then the magnitude of...

    Text Solution

    |

  7. Let alpha and beta be the roots of x^(2)+x+1=0. If n be positive integ...

    Text Solution

    |

  8. For real x, the greatest value of (x^(2)+2x+4)/(2x^(2)+4x+9) is

    Text Solution

    |

  9. Let A=((1,1,1),(0,1,1),(0,0,1)). Then for positive integer n. A^(n) is

    Text Solution

    |

  10. Let a, b, c be such that b(a+c)ne0. If |(a,a+1,a-1),(-b,b+1,b-1),(c,...

    Text Solution

    |

  11. Let f: R rarr R be twice continuously differentiable. Let f(0)=f(1)=f'...

    Text Solution

    |

  12. If f(x)=x^(n), n being a non-negative integer, then the values of n fo...

    Text Solution

    |

  13. Let f be a non-constant continuous function for all xge0. Let f satisf...

    Text Solution

    |

  14. If the line ax+by+c=0,abne0, is a tangent to the curve xy=1-2x. Then

    Text Solution

    |

  15. Two particles move in the same straight line starting at the same mome...

    Text Solution

    |

  16. The complex number z satisfying the equation |z-i|=|z+1|=1 is

    Text Solution

    |

  17. On R, the set of real numbers, a relation rho is defined as 'a rhob if...

    Text Solution

    |

  18. If a,b in {1,2,3} and the equation ax^(2)+bx+1=0 has real roots, then

    Text Solution

    |

  19. If the tangent to y^(2)=4ax at the point (at^(2),2at) where |t|gt1 is ...

    Text Solution

    |

  20. The focus of the conic x^(2)-6x+4y+1=0 is

    Text Solution

    |