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

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`.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER-3

    SHARAM PUBLICATION|Exercise EXERCISE|43 Videos

  • MODEL QUESTION PAPER-5

    SHARAM PUBLICATION|Exercise EXERCISE|39 Videos

Similar Questions

Explore conceptually related problems

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 .

Find the value of a, so that the function f(x) is defined by f(x)={{:((sin^(2)"ax")/(x^(2))", "x!=0),("1, "x=0):} may be continuous at x=0.

Find the value of k, the function, f(x)={:{((1-sinx)/((pi-2x)^(2))", "x!=(pi)/(2)),(" k, "x=(pi)/(2)):} is continuous at x=(pi)/(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 k so that the function f is continuous at x=pi//2,f(x)={:{((kcosx)/(pi-2x)", if "x!=(pi)/(2)),(5", if "x=(pi)/(2)):}

Find the value of k if the function f(x) defined by f(x)={(2x-1,when x 2):} is continous at x=2.

Find the value of k if the function f(x) defined by f(x)= {(2x-1,whenx 2):} is continous at x=2.

Find the value of k so that the function f defined below is continuous at x=0 f(x)={[(sin2x)/(5x)",",x!=0],[k",",x=0]:}

If f(x)={((x^3-8)/(x-2)),when x!=2),(k,whenx=2):} is continuous at x = 2, then what is the value of k.

SHARAM PUBLICATION-MODEL QUESTION PAPER-4-EXERCISE
  1. Find the equation of planes passing throught the points (1,2,3),(1,-4,...

    Text Solution

    |

  2. If A and B are square matrices of same order, then show by means of an...

    Text Solution

    |

  3. Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...

    Text Solution

    |

  4. Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...

    Text Solution

    |

  5. Find the inverse of [(2,-1),(1,3)].

    Text Solution

    |

  6. Evaluate int tan^-1 sqrt((1-x)/(1+x))dx

    Text Solution

    |

  7. Evaluate int (e^x-1)/(e^x+1) dx

    Text Solution

    |

  8. Evaluate int(0)^(pi//4)log(1+tanx)dx.

    Text Solution

    |

  9. Find the area of the region bounded by the curve y=6x-x^(2), the X-axi...

    Text Solution

    |

  10. Solve the following differential equations x log x (dy)/(dx)+y= 2 lo...

    Text Solution

    |

  11. Find the value of k so that the function f defined by f(x)={((kcos x)/...

    Text Solution

    |

  12. Find (dy)/(dx) if x^y = y^x.

    Text Solution

    |

  13. Show that the rectangle of maximum area that can be inscribed in a giv...

    Text Solution

    |

  14. Evaluate int0^ pi x/(1+ sin x) dx

    Text Solution

    |

  15. Find the area of region in the first quadrant enclosed by the X-axis, ...

    Text Solution

    |

  16. Solve the following differential equation (2x + y + 1) dx + (4x + 2y —...

    Text Solution

    |

  17. Show that f : N to N, given by f(x)= {(x+1", if x is odd"),(x-1", if...

    Text Solution

    |

  18. If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] then find the value of A^(2)-3A+2I

    Text Solution

    |

  19. If a, b and c are all positive real, then prove that minimum value of ...

    Text Solution

    |

  20. Three vectors veca, vecb and vecc satisfy the condition veca + vecb + ...

    Text Solution

    |