Home
Class 12
MATHS
If f(x)={{:((3sin pi x)/(5x)", "x !=0),(...

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

A

`pi/10`

B

`(3pi)/(10)`

C

`(3pi)/(2)`

D

`(3pi)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2013

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos
  • KARNATAKA CET 2015

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

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 :

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

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)/(5x ) underset( x=0)underset( x ne 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

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 f(x)={{:((1-cosKx)/(x sin x)",","if "xne0),((1)/(2)",","if "x=0):} is continuous at x=0 , then the value of

If f(x)={((1-cosx)/(x),xne0),(k, x=0):} is continuous at x=0 then k=

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2014-MATHEMATICS
  1. If the events A and B are independent if P(A')=2/3 and P(B')=2/7, then...

    Text Solution

    |

  2. A box contains 100 bulbs, out of which 10 are defective. A sample of 5...

    Text Solution

    |

  3. The area of the parallelogram whose adjacent sides are hat(i)+hat(k) a...

    Text Solution

    |

  4. If vec(a) and vec(b) are two unit vectors inclined at an angle pi/3, t...

    Text Solution

    |

  5. The value of [vec(a)-vec(b) vec(b)-vec(c) vec(c)-vec(a)] is equal to

    Text Solution

    |

  6. If x+y le 2, x ge 0, y le 0 the point at which maximum value of 3x+2y ...

    Text Solution

    |

  7. If sin theta= sin alpha, then

    Text Solution

    |

  8. If tanx=3/4, pi lt x lt (3 pi)/(2), then the value of cos. x/2 is

    Text Solution

    |

  9. In a triangle ABC, a[b cos C - c cos B]=

    Text Solution

    |

  10. If alpha and beta two different complex numbers with |beta|=1, then |(...

    Text Solution

    |

  11. The set A={x:|2x+3| lt 7} is equal to the set

    Text Solution

    |

  12. How many 5 digit telephone numbers can be constructed using the digi...

    Text Solution

    |

  13. If 21^(st) and 22^(nd) terms in the expansion of (1+x)^(44) are equal,...

    Text Solution

    |

  14. Consider an infinite geometric series with first term 'a' and common r...

    Text Solution

    |

  15. A straight line passes through the points (5, 0) and (0, 3). The lengt...

    Text Solution

    |

  16. Equation of circle with centre (-a, -b) and radius sqrt(a^(2)-b^(2)) i...

    Text Solution

    |

  17. The area of the triangle formed by the lines joining the vertex of the...

    Text Solution

    |

  18. If the coefficient of variation and standard deviation are 60 and 21 ...

    Text Solution

    |

  19. The function represented by the following graph is

    Text Solution

    |

  20. If f(x)={{:((3sin pi x)/(5x)", "x !=0),(2K" , " x=0):} is continuous...

    Text Solution

    |