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 19

    SHARAM PUBLICATION|Exercise EXERCISE|43 Videos

  • MODEL QUESTION PAPER-18

    SHARAM PUBLICATION|Exercise EXERCISE|42 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 20-EXERCISE
  1. If A = R -{3} and B = R -{1}. Consider the function f:A to B defined b...

    Text Solution

    |

  2. Prove that 2 tan^-1(1/2) + tan^-1 (1/7) = tan^-1 (31/17).

    Text Solution

    |

  3. Find the feasible region of the system. 2y-xge0,6y-3xle21,xge0,yge0

    Text Solution

    |

  4. Prove by vector method that in a Delta ABC, c^(2) = a^(2) + b^(2) - 2a...

    Text Solution

    |

  5. The diagonals of a parallelogram are given by veca =2hati - 3hatj + 5h...

    Text Solution

    |

  6. Find the image of the point (2, 3, 4) with respect to the plane x - y ...

    Text Solution

    |

  7. Find the equation of planes passing throught the points (1,2,3),(1,-4,...

    Text Solution

    |

  8. Prove that the lines x = ay + b, z = cy + d and x = a'y + b' , z= c'y ...

    Text Solution

    |

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

    Text Solution

    |

  10. If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...

    Text Solution

    |

  11. Solve the LPP Maximize z=5x+3y Subject to 3x+5yle15 5x+2yle10 , ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. If y = x^(cotx) then find (dy)/(dx).

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Find the solution of the following differential equations: (2x+y+1)dx+...

    Text Solution

    |

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

    Text Solution

    |