Home
Class 12
MATHS
If f(x)=[x+1,\ xlt=1 ,3 -a x^2,\ x >1 is...

If `f(x)=[x+1,\ xlt=1 ,3 -a x^2,\ x >1` is continuous at `x=1` then find the value of `adot`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    BANSAL|Exercise All Questions|376 Videos
  • INTEGRALS

    BANSAL|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

If f(x)=4x+a,x 1 is continuous at x=1 then find the values of a and 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 then find the values of a and b.

If f (x) = {{:(x + 1 , x le 1), (3 - ax^(2) ,x gt 1):} is continuous at x =1, then the value of a is

f(x)=(x^(n)-1)/(x-1),x!=1 and f(x)=n^(2),x=1 continuous at x=1 then the value of n

If the function defined by : f(x)={{:(2x-1", "xlt2),(a", "x=2),(x+1", "xgt2):} is continuous at x = 2, find the value of 'a'. Also discuss the continuity of f(x) at x = 3.

If f(x) = {(2x+1,",",x le 1),(-3-kx^(2),",",x gt 1):} is continuous at x = 1, then the value of k is

(v) If f(x)={ kx^(2) x>=1 4 x<1 is continuous at x=1 then the value of k is:

If f(x)={(x^(2)+5x+lambda)/(x^(2)-1),x!=1,(7)/(2),x=1 is continuous at x=1, then find the value of lambda

If f(x)=x^((1)/(x-1)) for x!=1 and f is continuous at x=1 then f(1)

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Let f(x)=[((x^2+3x-1)t a n x)/(x^2+2x)\ if\ x!=0,kif\ x=0 f(x) is cont...

    Text Solution

    |

  2. f(x)=[(sin x+sin5x)/(cos x+cos5x)\ \ if\ x!=-pi/4,k\ if\ x=-pi/4 is co...

    Text Solution

    |

  3. If f(x)=[x+1,\ xlt=1 ,3 -a x^2,\ x >1 is continuous at x=1 then find t...

    Text Solution

    |

  4. What kind of discontinuity the function (cosx)/x h a s\ \ a t\ x=0.

    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. Let f(x)={(x-1)sin(1/(x-1)), if"x"!="1"0, if"x"="1"} . Then which one ...

    Text Solution

    |

  7. (lim)(x->1)(1-x)tan((pix)/2)\ a. pi/2 b. pi c. 2/pi d. 0

    Text Solution

    |

  8. The value of (lim)(x->pi/2)(int t\ dt)/(sin(2x-pi))integral from pi/...

    Text Solution

    |

  9. The (lim)(x->0)(cos x)^(cotx) is -1 b. 1 c. 0 d. none of these

    Text Solution

    |

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

    Text Solution

    |

  11. The function f(x)=[x^2] (where [y] is the greatest integer less tha...

    Text Solution

    |

  12. If f(x)={x e^(-(1/(|x|)+1/x)),\ x!=0 , 0,\ x=0,\ t h e n\ f(x) is a. C...

    Text Solution

    |

  13. Let f(x) = (1-tanx)/(4x-pi), x != (pi)/4, x in [0,(pi)/2]. If f(x) is ...

    Text Solution

    |

  14. The function f(x)=|x|+|x-1| is Continuous at x=1, but not differentiab...

    Text Solution

    |

  15. Let f"":""RvecR be a function defined by f(x)""=""M in""{x""+""1,""...

    Text Solution

    |

  16. The function f:""R""~""{0}vecR given by f(x)=1/x-2/(e^(2x)-1) ca...

    Text Solution

    |

  17. If f'(x)=g(x) and g'(x)=-f(x) for all x and f(2)=4=f'(2) then f^(2)(4)...

    Text Solution

    |

  18. ("lim")(xvec0)(x^asin^b x)/(sin(x^c)),w h e r ea , b , c in R ~{0},e ...

    Text Solution

    |

  19. ("lim")(xvecpi/2){(x^3+1)/(x^2+1)-(a x+b)}=2,t h e n a=1,b=1 (b) a=1...

    Text Solution

    |

  20. ("lim")(xvec0)(sinx^n)/((sinx)^m),(m<n),i se q u a lto 1 (b) 0 (c)...

    Text Solution

    |