Home
Class 12
MATHS
Let f(x)={(x-4)/(|x-4|a+b)+a ,x<0 (x-4)/...

Let `f(x)={(x-4)/(|x-4|a+b)+a ,x<0 (x-4)/(|x-4|)+b ,x >0` Then, `f(x)` is continuous at `x=4` when (a)`a=0,b=0` (b) `a=1,b=1` (c)`a=-1,b=1` (d) `a=1,b=-1`

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)={(x-4)/(|x-4|)+a ,x 4 Then f(x) is continous at x=4 when a=0,b=0 b. a=1,b=1 c. a=-1,b=1 d. a=-1,b=-1

If f(x)={{:( e^(x^(2)+x), x gt0),( ax+b, xle0):} is differentiable at x=0 , then (a) a=1,b=-1 (b) a=-1,b=1 (c) a=1,b=1 (d) a=-1,b=-1

If f(x)={(|x|-3 when x = 1) & g(x)={2-|x| when x = 2 . if h(x)=f(x)+g(x) is discontinuous at exactly one point, then - (a). a=-3, b=0 (b). a=-3, b=-1 (c) a=2, b=1 (d) a=0, b=1

If f(x)=f(x)={(sin(a+1)x+sinx)/(x), ,x<0,c \ at x=0, (sqrt(x+b x^2)-sqrt(x))/(b xsqrt(x)),xgeq0,f(x) is continuous at x=0,t h e n (a). a=-3/2,b=0,c=1/2 (b) a=-3/2,b=1,c=-1/2 (c) a=-3/2,b in R-[0],c=1/2 (d) none of these

Let f(x)={(1+3x)^(1/x),x!=0 and e^3,x=0. Discuss the continuity of f(x) at (a)x=0, (b) x=1.

Let f(x)={(1+3x)^(1/x), x != 0e^3,x=0 Discuss the continuity of f(x) at (a) x=0, (b) x=1

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 the function f(x)={(cosx)^(1/x),x!=0k ,x=0 is continuous at x=0 , then the value of k is (a) 0 (b) 1 (c) -1 (d) None of these

If f(x) = (x^n-a^n)/(x-a) , then f'(a) is a. 1 b. 1/2 c. 0 d. does not exist

If the function f(x)={(cosx)^(1/x),x!=0k ,x=0 is continuous at x=0 , then the value of k is 0 (b) 1 (c) -1 (d) e

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Show that the function f(x)=2x-|x| is continuous at x=0.

    Text Solution

    |

  2. If the function f(x)=(2x-sin^(-1)x)/(2x+tan^(-1)x) is continuous at e...

    Text Solution

    |

  3. Let f(x)={(x-4)/(|x-4|a+b)+a ,x<0 (x-4)/(|x-4|)+b ,x >0 Then, f(x) i...

    Text Solution

    |

  4. Let f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|, x!=1,2 & 6, x=1 & 12 , x = 2 t...

    Text Solution

    |

  5. Let f (x)= {((1+ax )^(1//x), x lt 0),( ((x+c)^(1//3)-1)/((x+1)^(1//2) ...

    Text Solution

    |

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

    Text Solution

    |

  7. The value of f(0), so that the function f(x)=((27-2x)^(1/3)-3)/(9-3(2...

    Text Solution

    |

  8. The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 0,x=0 (a)is continu...

    Text Solution

    |

  9. The points of discontinuity of the function f(x)={2sqrt(x),0<=x<=l. ...

    Text Solution

    |

  10. If f(x)=(tan(pi/4-x))/(cot2x) for x!=pi/4, find the value of which c...

    Text Solution

    |

  11. Find the values of a and b so that the function f(x) defined by f(x)={...

    Text Solution

    |

  12. f(x)={(sqrt(1+p x)-sqrt(1-p x))/x ,-1lt=x<0(2x+1)/(x-2),0geqxgeq1 is ...

    Text Solution

    |

  13. The value of f(0) so that the function f(x)=(2-(256-7x)^(1/8))/((5x+32...

    Text Solution

    |

  14. Find k if the function f(x)={(sin3x)/x ,x!=0;k/2,x=0 is continuous at...

    Text Solution

    |

  15. Discuss the continuity of the function f(x)={(sin2x)/x ,ifx<0,x+2,ifx...

    Text Solution

    |

  16. Test the continuity of the following function at the origin: f(x)={(|...

    Text Solution

    |

  17. Show that the function f(x) given by f(x)={(xsin(1/x),x!=0),(0,x=0):} ...

    Text Solution

    |

  18. Show that the function f(x) given by f(x)={(sinx)/x+cosx ,x!=0 and 2,...

    Text Solution

    |

  19. Examination the function f(x) given by f(x)={((cosx)/(pi/2-x) ,, x !=...

    Text Solution

    |

  20. Discuss the continuity of the function f(x) given by f(x)={(2-x ,, x<...

    Text Solution

    |