Home
Class 12
MATHS
The value of f(0), so that the function ...

The value of `f(0),` so that the function `f(x)=(sqrt(a^2-a x+x^2)-sqrt(a^2+a x+x^2))/(sqrt(a+x)-sqrt(a-x))` becomes continuous for all `x ,` given by `a^(3/2)` (b) `a^(1/2)` (c) `-a^(1/2)` (d) `-a^(3/2)`

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

The function f(x)=sqrt(1-sqrt(1-x^2))

The domain of the function f(x)=sqrt(x-sqrt(1-x^2)) is

The function f (x) =1+ x ln (x+ sqrt(1+ x ^(2)))-sqrt(1- x^(2)) is:

The range of the function f(x) = sqrt(2-x)+sqrt( 1+x)

Differentiate the following function (sqrt(x^2+1)+sqrt(x^2-1))/(sqrt(x^2+1)-sqrt(x^2-1)

The domain of the function f(x)=sqrt(x^(2)-5x+6)+sqrt(2x+8-x^(2)) , is

The domain of the function f(x)=sqrt(-log_.3 (x-1))/(sqrt(x^2+2x+8)) is

The range of the function f(x)=tan^(- 1)((x^2+1)/(x^2+sqrt(3))) x in R is

The domain of the function f(x)=sqrt(-log_(0.3) (x-1))/(sqrt(-x^(2)+2x+8))" is"

Differentiate w.r.t 'x' f(x) = (sqrt(x^(2)+1)+sqrt(x^(2)-1))/(sqrt(x^(2)+1)-sqrt(x^(2)-1))

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. If f(x)=f(x)={(sin(a+1)x+sinx)/(x), ,x<0,c \ at x=0, (sqrt(x+b x^2)-sq...

    Text Solution

    |

  2. If f(x)={m x+1\ \ \ ,\ \ \ xlt=pi/2,\ \ \ \ \ \sinx+n\ \ \ ,\ \ \ x >p...

    Text Solution

    |

  3. The value of f(0), so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The function f(x)={x^2a\ \ \ \ \ ,\ \ \ \ \ 0lt=x<1,\ \ \ \ \a ,\ \ \ ...

    Text Solution

    |

  8. If f(x)=(1-sinx)/((pi-2x)^2),w h e nx!=pi/2a n df(pi/2)=lambda, the f(...

    Text Solution

    |

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

    Text Solution

    |

  10. The function f(x)=tanx is discontinuous on the set

    Text Solution

    |

  11. The function f(x)={(sin3x)/x ,x!=0k/2,x=0 is continuous of x=0,t h e ...

    Text Solution

    |

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

    Text Solution

    |

  13. The value of a for which the function f(x)={5x-4\ \ \ ,\ \ \ if\ 0<xlt...

    Text Solution

    |

  14. If f(x)=1/(1-x), then the set of points discontinuity of the function ...

    Text Solution

    |

  15. Let f(x)=(tan(pi/4-x))/(cot2x),x!=pi/4 . The value which should be ass...

    Text Solution

    |

  16. The function f(x)=(x^3+x^2-16 x+20)/(x-2) is not defined for x=2. In o...

    Text Solution

    |

  17. If f(x)={asinpi/2(x+1), ,xlt=0(tanx-sinx)/(x^3),x >0 is continuous at...

    Text Solution

    |

  18. If f(x)={a x^2+b ,0lt=x<1 4,x=1x+3,1<xgeq2 then the value of (a , b) ...

    Text Solution

    |

  19. If the function f(x) defined by f(x)={(log(1+3x)-log(1-2x))/x\ \ \ ,\ ...

    Text Solution

    |

  20. If f(x)={(1-cos10 x)/(x^2) , x<0 \ \ \ \ \ \ \ \a,\ \ \ x=0 \ \ \ (sqr...

    Text Solution

    |