Home
Class 12
MATHS
If f(x)={3ax+b if x>1, 11 if x=1 , 5ax-2...

If `f(x)={3ax+b if x>1, 11 if x=1 , 5ax-2b,if x<1.Determinethe values of`a`and `b`so that f(x) is continuous.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos

Similar Questions

Explore conceptually related problems

let f(x)={(ax+1, if x le 1),(3, if x=1),(bx^2+1,if x > 1)) if f(x) is continuous at x=1 then value of a-b is (A) 0 (B) 1 (C) 2 (D) 4

If the function f(x)= {(3ax +b", " x gt 1 ),(11 ", "x=1),(5 ax-2b", " x lt 1):} continuous at x= 1 then ( a, b) =?

If the function f(x) given by f(x)={3a x+b ,\ \ \ if\ x >1\ \ \ \ \ \ \ \ \ \11, if x=1\ \ \ 5a x-2b, if x<1 is continuous at x=1 , find the values of a and b .

If f(x) = |(a, -1, 0), (ax, a,-1 ) ,(ax^(2), ax, a)| , then f(2x)-f(x) is divisible by 1) a 2) b 3) c ,d ,e 4). none of these

Let f(x)={(1/(|x|), for |x| ge 1),(ax^2+b,for |x| < 1)) . If f(x) is continuous and differentiable at any point, then (A) a=1/2, b=-3/2 (B) a=-1/2, b=3/2 (C) a=1,b=-1 (D) none of these

If f(x)={(ax^2+b ,0lex<1),(4,x=1),(x+3,1ltxge2)) then the value of (a ,b) for which f(x) cannot be continuous at x=1, is (a) (2,2) (b) (3,1) (c) (4,0) (d) (5,2)

Let f(x)= {:{ (x + a , x ge 1 ) , ( ax^(2) + 1, x lt 1) :} then f(x) is derivable at x =1 , if

If f(x)={{:(,ax^(2)-b,ale xlt 1),(,2,x=1),(,x+1,1 le xle2):} then the value of the pair (a,b) for which f(x) cannot be continuous at x=1, is

Find the values of a and b so that the function f given by f(x)={ax+b , if 3 = 5 is continuous at x=3 and x=5.

If f(x) = ax^(2)+bx+c, f(-1)=-18 , and f(1)=10 , what is the value of b ?

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Determine the value of the constant k so that the function f(x)={k ...

    Text Solution

    |

  2. Determine the value of the constant m so that the function f(x)={m(x...

    Text Solution

    |

  3. If f(x)={3ax+b if x>1, 11 if x=1 , 5ax-2b,if x<1.Determinethe values o...

    Text Solution

    |

  4. Prove that the function f(x)={(sinx)/x\ \ \ ,\ \ \ x<0\ \ \ \ \x+1\ ...

    Text Solution

    |

  5. Discuss the continuity of the function f(x)={x/(|x|)\ \ \ ,\ \ \ x!...

    Text Solution

    |

  6. Find the points of discontinuity, if any, of the following function:...

    Text Solution

    |

  7. Find the points of discontinuity, if any, of the following function:...

    Text Solution

    |

  8. Find the points of discontinuity, if any, of the following function...

    Text Solution

    |

  9. Find the points of discontinuity, if any, of the following function...

    Text Solution

    |

  10. Find the points of discontinuity, if any, of the following function:...

    Text Solution

    |

  11. Find the points of discontinuity, if any, of the following function:...

    Text Solution

    |

  12. Find the points of discontinuity, if any, of the following function:...

    Text Solution

    |

  13. Find the points of discontinuity, if any, of the following function...

    Text Solution

    |

  14. Find the points of discontinuity, if any, of the following function:...

    Text Solution

    |

  15. Find the points of discontinuity, if any, of the following function...

    Text Solution

    |

  16. Find the points of discontinuity, if any, of the following function...

    Text Solution

    |

  17. Find the points of discontinuity, if any, of the following function:...

    Text Solution

    |

  18. Find the points of discontinuity, if any, of the following function: f...

    Text Solution

    |

  19. Determine the value(s) of constant(s) involved in the definition so...

    Text Solution

    |

  20. Determine the value(s) of constant(s) involved in the definition so ...

    Text Solution

    |