Home
Class 12
MATHS
If f (x) is continuous on 0-4, 2], defin...

If f (x) is continuous on `0-4, 2],` defined as
`f(x)=6b-3ax, "for" -4 le x lt -2`
`=4x+1," for" -2le x le2,`
find the value of `a+b.`

Text Solution

Verified by Experts

The correct Answer is:
`a+b=(-7)/(6).`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|6 Videos

  • CONTINUITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|6 Videos

  • BINOMIAL DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos

Similar Questions

Explore conceptually related problems

If f (x) is continous on [0,8] defined as f(x)=x^(2)+ax, "for" 0lex lt 2 =3x+2, "for" 2 lex le4 =2ax+5b, "for" 4 lt x le 8, find a and b.

If f(x) is continuous in [0, 3], where f(x)={:{(3x-4", for " 0 le x le 2),(2x+k", for " 2 lt x le 3):} , then k=

If f(x) is continuous on [0, 8] , where f(x)={:{(x^(2)+ax+6", for " 0 le x lt 2),(3x+2", for " 2 le x le 4),(2ax+5b", for " 4 lt x le 8):} , then

If f(x)={:{(x-1", for " 1 le x lt 2),(2x+3", for " 2 le x le 3):} , then at x=2

Let f(x) ={:{(x, "for", 0 le x lt1),( 3-x,"for", 1 le x le2):} Then f(x) is

If f(x) is continuous in [-2, 2], where f(x)={:{ ((sin ax)/(x)-1", for "-2 le x lt 0),(2x+1", for " 0 le x le 1),(2bsqrt(x^(2)+3)-1", for " 1 lt x le 2):} , then a+b=

If f(x) is continuous on [-2, 2], where f(x)={:{((sin ax)/(x)+2", for " -2 le x lt 0),(3x+5", for " 0 le x le 1),(sqrt(x^(2)+8)-b", for " 1 lt x lt 2):} , then a+b=

If f(x)={:{(x", for " 0 le x lt 1),(2", for " x=1),(x+1", for " 1 lt x le 2):} , then f is

If f(x) is continuous in [-2,2], where f(x) = {((sinax)/(x)-2,",","for" -2 le x lt 0),(2x+1,",","for"0 le x le 1),(2bsqrt(x^(2)+3)-1,",","for" 1 lt x le 2):} , then the value of (a+b) is

If f(x)={((1)/(x+1)", for " 2 le x le 4),((x+1)/(x-3)", for " 4 lt x le 6):} , then

NAVNEET PUBLICATION - MAHARASHTRA BOARD-CONTINUITY -EXAMPLES FOR PRACTICE
  1. Discuss the continuity of the functions at the points given against th...

    Text Solution

    |

  2. Discuss the continuity of the functions at the points given against th...

    Text Solution

    |

  3. Discuss the continuity of the functions at the points given against th...

    Text Solution

    |

  4. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  5. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  6. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  7. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  8. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  9. If f (x) is continuous at x=pi, where f(x) =(sqrt(2+cos x)-1)/((pi-2)^...

    Text Solution

    |

  10. If the function f(x)=((4^(sinx)-1)^(2))/(x log (1+2x)), "for" x ne0, i...

    Text Solution

    |

  11. If f(x) is continous at x=0, where f(x) ((e^(3x)-1)sin x)/(xlog(1+x)),...

    Text Solution

    |

  12. Discuss the continuity of the functions on te intervals shown below th...

    Text Solution

    |

  13. Discuss the continuity of the functions on te intervals shown below th...

    Text Solution

    |

  14. Discuss the continuity of the functions on te intervals shown below th...

    Text Solution

    |

  15. If f (x) is continous on [0,8] defined as f(x)=x^(2)+ax, "for" 0lex...

    Text Solution

    |

  16. If f(x)(x^(2)-9)/(x-3)+alpha, "for" x gt 3 =5, "for" x =3 =2x^(2)+...

    Text Solution

    |

  17. If (f) is continuous on its domian [-2, 2], where f(x)=(sin x)/(x)+a,...

    Text Solution

    |

  18. Find alpha and beta, so the function f (x) defined by f(x) =-2 sin x...

    Text Solution

    |

  19. Find the values of a and b so that the function f(x)={{:(x+asqrt2...

    Text Solution

    |

  20. If f (x) is continuous on 0-4, 2], defined as f(x)=6b-3ax, "for" -4 ...

    Text Solution

    |