Home
Class 12
MATHS
Let f(x) = {((sin pix)/(5x), x ne 0),(k,...

Let `f(x) = {((sin pix)/(5x), x ne 0),(k, x =0):}` If f(x) is continuous at x =0, then the value of k is

A

`5//pi`

B

`pi//5`

C

0

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2001

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|53 Videos

  • KARNATAKA CET 2003

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If f(x) = {((sin 5x)/(x^(2)+2x), x ne 0),(k+1/2, x =0):} is continuous at x = 0, then the value of k is

If f(x) = {{:((3 sin pi x)/(5 x),x ne 0),(2k,x = 0):} is continuous at x = 0, then the value of k is equal to :

The function f(x) {((sin x)/x + cos x, x ne 0), (k, x = 0):} is continuous at x = 0, then the value of k is

If f(x)={{:((3sin pi x)/(5x)", "x !=0),(2K" , " x=0):} is continuous at x=0 , then the value of K is

The function f(x) = {{:((sin x)/(x) + cos x,"if",x ne 0),(k,"if",x = 0):} is continuous at x = 0, then value of k is :

If the function f(x) = {((sin 3x)/x, x ne 0),(k/x, x = 0):} is continuous at x = 0, then k =

If the function f(x) = {(1-cos x)/(x^(2)) for x ne 0 is k for x = 0 continuous at x = 0, then the value of k is

If f(x ) = {(3 sin pi x)/(5x ) underset( x=0)underset( x ne 0) is continuous at x=0 then the value of K is equal to :

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2002-MATHEMATICS (MCQ.s)
  1. The value of int(0)^(pi)(dx)/(5+3cosx) is

    Text Solution

    |

  2. The false statement in the following is

    Text Solution

    |

  3. If the vectors 3hati+hatj-2hatk,hati+2hatj-3hatk,3hati+lamdahatj+5hatk...

    Text Solution

    |

  4. Equations of the tangent and the normal drawn at the point (6,0) on th...

    Text Solution

    |

  5. The equation to the parabola whose focus is (1,-1) and the directrix i...

    Text Solution

    |

  6. If omega=-(1)/(2)+i (sqrt(3))/(2), the value of [[1, omega, omega^(2)...

    Text Solution

    |

  7. Two intersecting circles have their radii 1 and sqrt(3) meters. The di...

    Text Solution

    |

  8. The height of the cylinder of maximum volume inscribed in a sphere of ...

    Text Solution

    |

  9. For all positive values of x and y, the value of ((1+x+x^(2))(1+y+y^(2...

    Text Solution

    |

  10. How many nine digit numbers can be formed using the digit 2,2,3,3,5,58...

    Text Solution

    |

  11. There are n points in a plane of which p points are collinear. How man...

    Text Solution

    |

  12. If f (x) = |{:( sin x , cos x , tan x) , (x^(3) , x^(2) , x) , (2x , 1...

    Text Solution

    |

  13. The value of int(0)^(pi//2) logtanxdx is

    Text Solution

    |

  14. The value of int(-1//2)^(1//2)(cosx)[log((1-x)/(1+x))]dx is

    Text Solution

    |

  15. The area of the figure bounded by the curves y=cosx and y=sinx and the...

    Text Solution

    |

  16. If z(2-i)=3+I,z^(20)=

    Text Solution

    |

  17. Let f(x) = {((sin pix)/(5x), x ne 0),(k, x =0):} If f(x) is continuous...

    Text Solution

    |

  18. In the set of integers Z, which of the following relation R is not an ...

    Text Solution

    |

  19. For how many values of x in the closed interval [-4,-1] the matrix [[3...

    Text Solution

    |

  20. G={{:((costheta,sintheta),(-sintheta,costheta)):thetainR} is a group u...

    Text Solution

    |