Home
Class 12
MATHS
f(x) ={{:((1-sqrt(2)sin x)/(pi -4x),"if ...

`f(x) ={{:((1-sqrt(2)sin x)/(pi -4x),"if "x ne (pi)/(4)),("k","if "x=(pi)/(4)):}`
continous at x=(pi)/(4)`, then K=

A

4

B

2

C

1

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2(Special Type Questions)|10 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-3Match The Following|2 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B( One Sided Limits)|71 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • LINEAR PROGRAMMING [APPENDIX-2]

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise -1|33 Videos

Similar Questions

Explore conceptually related problems

If f(x) = {{:(1 - sqrt(2 sinx)/(pi - 4r ) " if " x ne (pi)/(4)),(a " if " x = (pi)/(4)):} continuous at (pi)/(4) then a =

f(x) = {{:((k cos x)/(pi-2x ), " if " , x ne (pi)/(2)),(3, "if" , x = (pi)/(2)):}"continuous at " x = (pi)/(2) " then k" =

Find the values of k so that the function f is continuous at the indicated point in Exercises 26 to 29. f(x)={{:((k cos x)/(pi -2x)," if "x ne (pi)/(2)),(3," if "x= (pi)/(2)):}" at "x=(pi)/(2) .

Find k if the function is continuous at x=(pi)/(2) if (a) f(x)={{:((k cos x )/(pi-2x),x ne (pi)/(2)),(3,if x=(pi)/(2)):} at x=(pi)/(2) (b) f(x)={{:(kx+1, if x le 2),(cos x,if x gt 2):} at x=2 (c ) if f(x)={{:(k^(2)x-k,if x le 1),(2 , if x lt 1):} is continous on R then find the value (s) of k

If x in ((pi)/(4),(pi)/(2)) " then " int sqrt(1 - sin 2x) dx =

Lt_(x to (pi)/(4)) (cosx-sinx)/((pi)/(4)-x)=

Let f(x)=(1-tan x)/(4x-pi), x ne pi/4, x in [0,pi/2]." If f(x) is continuous in "[0,pi/4]," then "f(pi/4)is

f(x) = (cos x - sinx)/(cos (2x)) , x ne (pi)/(4) is continuous on [ 0, (pi)/(2)] " then " f((pi)/(4)) =

f (x) = sin x + cos x implies f ((pi)/(4)) f ^((iv)) ((pi)/(4)) =

DIPTI PUBLICATION ( AP EAMET)-LIMITS AND CONTINUITY-Exercise 1C(Continuity)
  1. Extend the definition of the following by continuity f(x)=(1−cos7(x−π)...

    Text Solution

    |

  2. Let f(x)=(1-tan x)/(4x-pi), x ne pi/4, x in [0,pi/2]." If f(x) is cont...

    Text Solution

    |

  3. f(x) ={{:((1-sqrt(2)sin x)/(pi -4x),"if "x ne (pi)/(4)),("k","if "x=(p...

    Text Solution

    |

  4. If f: R to R is defined by f(x)={{:(,(1+3x^(2)-cos2x)/x^(2),"for "x ne...

    Text Solution

    |

  5. If f: R to R" is defined by f(x)"={{:(,(cos 3x-cosx)/(x^(2)),"for "x n...

    Text Solution

    |

  6. If f R to R is defined by <by> f (x) = {{:(( 2 sin x - sin 2x)/(2x ...

    Text Solution

    |

  7. The value of f(0) so that the function f(x)=(1-cos (1-cos x))/(x^(4)) ...

    Text Solution

    |

  8. Find the value of AO) so that the function f(x) = ((a+x)^(2)sin(a+x)-a...

    Text Solution

    |

  9. The value of f(2) so that f(x)=(2^(x+2)-16)/(4^(x)-16) is continuous a...

    Text Solution

    |

  10. If the function f(x)=(log(1+ax)-log(1-bx))/(x) is continuous at x=0, t...

    Text Solution

    |

  11. The value of f(0) so that f(x)=(log(1+x//a)-log(1-x//b))/(x) is contin...

    Text Solution

    |

  12. Let f(x)=(log(1+x+x^(2))+log(1-x+x^(2))/(sec x-cos x),x ne 0. Then the...

    Text Solution

    |

  13. The value of f(0) so that f(x)=((4^(x)-1)^(3))/(sin(x//4)log(1+x^(2)//...

    Text Solution

    |

  14. If f(x)=((a^(x)-1)^(3))/(sin (x log a)log (1+x^(2) log a^(2)) is conti...

    Text Solution

    |

  15. If If {{:(,(72^(x)-9^(x)-8^(x)+1)/(sqrt2-sqrt(1+cosx)),x ne 0),(,k log...

    Text Solution

    |

  16. If f : R to R is continuous such that f(x + y) = f(x) + f(y) x i...

    Text Solution

    |

  17. Let f be a non zero continuous function satisfying f(x+y)=f(x) f(y) fo...

    Text Solution

    |

  18. Given that the function f defined by f(x)={{:(,2x-1,"if "x gt 2),(,k,"...

    Text Solution

    |

  19. f(x) = (x^(3) + x^(2) - 16 x + 20)/((x - 2)^(2)) " if " x ne 2 , = k ...

    Text Solution

    |

  20. If f(x)=(x^(2)-10x+25)/(x^(2)-7x+10)"for "x ne 5 and f is continuous a...

    Text Solution

    |