Home
Class 12
MATHS
Determine a & b so that f is continuous ...

Determine a & b so that f is continuous at `x = pi/2`
whre `f(x) = [{:((1-sin^(3)x)/(3 cos^(2)x), if, x lt pi/2),(a, if, x=pi/2),((b(1-sinx))/(pi-2x)^(2), if, x gt pi/2):}`

A

(1,4)

B

`(1/2,2)`

C

`(1/2,4)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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) is continuous at x=pi/2 , where f(x)=(sqrt(2)-sqrt(1+sin x))/(cos^(2)x) , for x!= pi/2 , then f(pi/2)=

If f(x) is continuous at x=pi/2 , where f(x)=(1-sin x)/((pi-2x)^(2)) , for x != pi/2 , then f(pi/2)=

If f(x) is continuous at x = (pi)/2 , where f(x) = (sinx)^(1/(pi-2x)), "for" x != (pi)/2 , then f((pi)/(2)) =

If f(x) is continuous at x=pi/2 , where f(x)=(1-sin x)/((pi/2 -x)^(2)) , for x!= pi/2 , then f(pi/2)=

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

If f(x) is continuous at x=pi/2 , where f(x)=(3^(x- pi/2)-6^(x- pi/2))/(cos x) , for x != pi/2 , then f(pi/2)=

If f(x) and f'(x) are continuous at x=pi/6 , where f(x)={:{(sin 2x", if " x lt pi/6),(ax+b", if " x gt pi/6):} , then

If f(x) is continuous at x=pi/2 , where f(x)=(cos x )/(sqrt(1-sinx)) , for x!= pi/2 , then f(pi/2)=

DISHA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-Exercise-1 : Concept Builder(Topicwise)
  1. If f (x) = {{:((1- sqrt2sin x )/(pi - 4 x )",",, x ne (pi)/(4)),(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. If f (x) = ae^(|x|)+b|x|^(2); a","b epsilon R and f(x) is differentia...

    Text Solution

    |

  20. Let f(x) = {(x sin(1/x)+sin(1/x^2),; x!=0), (0,;x=0):}, then lim(x rar...

    Text Solution

    |