Home
Class 12
MATHS
f(x) ={((x^2-9)/(x-3)+a,",",x gt 3),(5, ...

`f(x) ={((x^2-9)/(x-3)+a,",",x gt 3),(5, ",",x = 3),(2x^2+3x+b, ",",x lt 3):}`
is continuous at x = 3, then

A

`a = 1, b = -22`

B

`a = 1, b = 22`

C

`a = -1, b = 22`

D

`a = -1, b = -22`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    TARGET PUBLICATION|Exercise Competitive Thinking|63 Videos
  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos
  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos
  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

Similar Questions

Explore conceptually related problems

If f(x) = {(x+lambda,",",x lt 3),(4,",",x = 3),(3x-5,",",x gt 1):} is continuous at x = 3, then lambda =

If f(x) = {((x^(2)-9)/(x-3),",", "if"x != 3),(2x+k,",", "otherwise"):} , is continuous at x = 3, then k =

f(x)={x+2,x 3, is continuous at x=3

If f(x)(x^(2)-9)/(x-3)+alpha, "for" x gt 3 =5, "for" x =3 =2x^(2)+3x+beta, "for" x lt 3 is continous at x=3, find alpha and beta.

If : f(x) {:( =x+lambda", ... " x lt 3),(=4", ... " x = 3 ),(= 3x-5 ", ... "x gt 3 ):} is continuous at x = 3 , then : lambda

The function f(x) = {(x+2, ",",1 le x lt 2),(4, ",", x = 2 ),(3x-2, ",", x gt 2 ):} is continuous at

If f(x) {:(=x^(2)-1", if "x lt 3 ),(= 2ax ", if "x le 3 ) :} is continuous at x = 3 , then a = ……

If f(x) is continuous at x=3 , where f(x)={:{((x^(2)-9)/(x-3)+alpha", for " x gt3),(5", for " x=3),(2x^(2)+3x+beta", for " x lt 3):} , then

If f(x) f(x) ={((x^2-9)/(x-3)","" " xne3),(" 6""," " "x = 3"):} then show that f(x) is continuous at x=3.

The function f(x)= {(2 ax ", " x ge 3 ),( 3x +1 ", " x gt 3):} continuous at x= 3, then a =?

TARGET PUBLICATION-CONTINUITY-Critical Thinking
  1. The value of f(0) so that the function f(x) = (log(sec^2 x))/(x sin x)...

    Text Solution

    |

  2. The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x...

    Text Solution

    |

  3. f(x) ={((x^2-9)/(x-3)+a,",",x gt 3),(5, ",",x = 3),(2x^2+3x+b, ",",x l...

    Text Solution

    |

  4. If f(x) is continuous at x = 0 , where f(x) ={(x^2+a,",",x ge 0),(2sqr...

    Text Solution

    |

  5. Find the values of a and b sucht that the function f defined by ...

    Text Solution

    |

  6. The value of p and q for which the function f(x) = {((sin(p+1)x+sinx...

    Text Solution

    |

  7. If f(x) ={(e^(1/x),",","when"x != 0),(1,",","when"x = 0):} , then

    Text Solution

    |

  8. If f(x) ={((x^(4)-16)/(x-2),",","when"x != 2),(16,",","when"x = 2):} ,...

    Text Solution

    |

  9. The function f(x) = (|3x-4|)/(3x-4) is discontinuous at

    Text Solution

    |

  10. If f(x) ={(|x|,",",x lt 0),(x,",",0 le x le 1),(1,",",x gt 1):} , the...

    Text Solution

    |

  11. If {:(f(x),=(|x|)/(x),",","for" x != 0),(,=1, ",","for" x = 0):}, then...

    Text Solution

    |

  12. The function (sinx)/(|x|)

    Text Solution

    |

  13. If f(x) ={((x-|x|)/x,",","when"x != 0),(2,",","when"x = 0):} , then

    Text Solution

    |

  14. Select the write the most appropriate answer from the given alternativ...

    Text Solution

    |

  15. The function f(x)={{:(,(e^(1/x)-1)/(e^(1/x)+1),x ne 0),(,0,x=0):}

    Text Solution

    |

  16. f(x) = (x^(2)+x-2)/(x^(2)-3x+2) is discontinuous at x =

    Text Solution

    |

  17. The point at which the function f(x) = (x+1)/(x^(2)+x-12) is discontin...

    Text Solution

    |

  18. The function f(x) = (4-x^(2))/(4x-x^(3)) is

    Text Solution

    |

  19. If f(x) ={(4-3x,",",0 lt x le 2),(2x-6,",",2 lt x le 3),(x+5,",",3 lt ...

    Text Solution

    |

  20. If f(x)={:{(x sin x", for " 0 lt x le pi/2),(pi/2 sin (pi+x)", for " p...

    Text Solution

    |