Home
Class 12
MATHS
If f (x) = {{:((1- sqrt2sin x )/(pi...

If ` f (x) = {{:((1- sqrt2sin x )/(pi - 4 x )",",, x ne (pi)/(4)),(a" "",",,x = (pi)/(4)):}`
is continuous at ` x = (pi)/(4)`, then a =

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

  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

If f(x)={{:((1-sqrt2sinx)/(pi-4x)",",ifxne(pi)/(4)),(a",",if x=(pi)/(4)):} in continuous at (pi)/(4) , then a is equal to :

Let f (x)= {{:((1- tan x)/(4x-pi), x ne (pi)/(4)),( lamda, x =(pi)/(4)):}, x in [0, (pi)/(2)), If f (x) is continuous in [0, (pi)/(2)) then lamda is equal to:

If : f(x) {: ((1-sin x)/(pi-2x)", ... " x != pi//2 ),(=lambda ", ... " x = pi//2):} is continuous at x = pi//2 , then : lambda =

If f(x)={(x+a sqrt(2) sinx"," ,0 lt x lt (pi)/(4)),(2x cotx+b",",(pi)/(4) le x le (pi)/(2)),(a cos 2x-b sinx",", (pi)/(2) lt x le pi):} is continuous at x=(pi)/(4) , then a - b is equal to

Let f(x)= {{:(,(tanx-cotx)/(x-(pi)/(4)),x ne (pi)/(4)),(,a,x=(pi)/(4)):} The value of a so that f(x) is a continous at x=pi//4 is.

DISHA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-Exercise-1 : Concept Builder(Topicwise)
  1. Let f(x)={(5^(1//x)"," , x lt 0),(lambda[x]",",x ge0):} and lambda in...

    Text Solution

    |

  2. Determine the value of a ,b ,c for which the function f(x)={(sin(a+1)x...

    Text Solution

    |

  3. If f (x) = {{:((1- sqrt2sin x )/(pi - 4 x )",",, x ne (pi)/(4)),(...

    Text Solution

    |

  4. The function f(x)=(1-sinx+cosx)/(1+sinx+cosx) is not defined at x=pi. ...

    Text Solution

    |

  5. Determine a & b so that f is continuous at x = pi/2 whre f(x) = [{:(...

    Text Solution

    |

  6. Let f(x) be a function defined as f(x)={(x^2-1)/(x^2-2|x-1|-1),x!=1 1/...

    Text Solution

    |

  7. If f(x)=[(8^x-4^x-2^x+1^2)/(x^2\ ),\ x >0e^xsinx+4x+k ln4,\ xlt=0 is c...

    Text Solution

    |

  8. The number of points at which the function f(x)=1/(log) |x| is discont...

    Text Solution

    |

  9. If f(x)={(-x^2",",when xle0),(5x-4",","when "0 lt x le 1),(4x^2-3x",",...

    Text Solution

    |

  10. The points of discontinuity of the function lim(n->oo) (((2 sin x )^(2...

    Text Solution

    |

  11. Let f(x)=[x^3 - 3], where [.] is the greatest integer function, then t...

    Text Solution

    |

  12. If f(x)={(x-1",",xlt0),(1/4",",x=0),(x^2",",xgt0):} , then

    Text Solution

    |

  13. The number of points at which the function f(x) = 1/(x-[x]) ([.] denot...

    Text Solution

    |

  14. If f(x)={(sin x;x rational) (cos x;x is irrational) then the function ...

    Text Solution

    |

  15. If f(x) = {(1, ",", "when" 0 lt x le (3pi)/4),(2(sin) 2/9x, ",", "when...

    Text Solution

    |

  16. If f(x) = sgn (x) and g (x) = (1-x^2),then the number of points of dis...

    Text Solution

    |

  17. If f(x)={(x","xle1,),(x^2+bx+c",",xgt1):} then find the values of b an...

    Text Solution

    |

  18. Let f(x) = |sin x| .Then

    Text Solution

    |

  19. f(x)=maximum {2sinx,1-cosx} is not differentiable when x is equal to

    Text Solution

    |

  20. Let f : R to R be such that f (1) = 3 and f'(1) = 6. Then, unders...

    Text Solution

    |