Home
Class 12
MATHS
Find the value of k, so that the functio...

Find the value of k, so that the function defined by `f(x)={(kx+1", if "xlepi),(cosx", if "xgtpi):}` is continuous at `x=pi`.

Text Solution

Verified by Experts

The correct Answer is:
`k=(-2)/(pi)`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART II) Sample Question |11 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART II) QUESTION FOR PRACTICE (1 MARK) |26 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART I) QUESTION FOR PRACTICE (1 MARK) |8 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos

Similar Questions

Explore conceptually related problems

Find the relationship between a and b so that the function f defined by f(x)={(ax+1" , if "xle3),(bx+3" , if "xgt3):} is contunuous at x=3.

Find the value of k so that the function f defined by f(x)={((kcos x)/(pi-2x)),when x!=pi/2),(0,atx=pi/2):} is continuous at x = (pi)/2 .

Find the value of a such that the function f defined by f(x)={((sinax)/(sinx) if xne0),(1/a if x=0):} is continuous at x=0.

Find the values of a and b such that the function f defined by f(x) = {(ax^2+b, if x 1):} .

Is the function f defined by f(x)={(x", if "xle1),(5", if "xgt1):} continuous at x=0, at x=1 and at x=2 ?

find the value of k, so that the function f(x)={((2^(x+2)-16)/(4^(x)-16)", if "x!=2),(k", if "x=2):} is continuous at x=2.

Find the value of a such that the function f defined by f(x)={{:((sinax)/(sinx), "if", x ne 0),((1)/(a), "if", x=0):} is continuous at x=0

Show that the function f defined by f(x)={(x if "x is rational"),(-x if "x is irrational"):} is continuous at x=0 AAxne0inR

ARIHANT PUBLICATION-CONTINUITY AND DIFFERENTIABILITY -(PART I) QUESTION FOR PRACTICE (4 MARK)
  1. Determine f(0) so that the function f(x) defined by f(x)=((4^(x)-1)^(3...

    Text Solution

    |

  2. Examine the continuity of a function f(x)={{:(|x|"cos"(1)/(x)", if ...

    Text Solution

    |

  3. Show that the function f(x)={{:((e^(1//x)-1)/(e^(1//x)+1)", when "x!=0...

    Text Solution

    |

  4. For what value of lamda is the function f(x)={{:(lamda(x^(2)-2x)", i...

    Text Solution

    |

  5. Find the value of k, so that the function defined by f(x)={(kx+1", if...

    Text Solution

    |

  6. For what value of k, the function f(x)={((tan2x)/(x)", if "x!=0),(k"...

    Text Solution

    |

  7. For what value of k the following function is continuous at x=0 ? f(...

    Text Solution

    |

  8. Find the value of a, so that the function f(x) is defined by f(x)={{...

    Text Solution

    |

  9. Show that the function f(x)={(|x-a|sin(1)/(x-a)", if "x!=a),(0", ...

    Text Solution

    |

  10. A car driver is driving a car on the dangerous path given by f(x)={((1...

    Text Solution

    |

  11. For what value of k, the function f(x)={{:((sin2x)/(x)", "x!=0),(k"...

    Text Solution

    |

  12. Find the value of k for which f(x)={{:((sqrt(1+kx)-sqrt(1-kx))/(x)", ...

    Text Solution

    |

  13. find the value of k, so that the function f(x)={((2^(x+2)-16)/(4^(x)...

    Text Solution

    |

  14. Find the values of a and b such that the function f defined by f(x)={:...

    Text Solution

    |

  15. Discuss the continmuity of function f defined by f(x)={{:((1)/(2)-x"...

    Text Solution

    |

  16. Discuss the continuity of the function f(x)=sin x-cos x.

    Text Solution

    |

  17. Given, f(x)=(1)/(x-1). Find the points of discontinuity of composite f...

    Text Solution

    |

  18. Examine that sin|x| is a continuous function.

    Text Solution

    |

  19. Show that the function f defined by f(x)=|1-x+|x||, where x is any rea...

    Text Solution

    |

  20. Show that tangent function is continuous in their domain

    Text Solution

    |