Home
Class 12
MATHS
If f(x)=(sqrt(a^2-a x+x^2)-sqrt(a^2+a x+...

If `f(x)=(sqrt(a^2-a x+x^2)-sqrt(a^2+a x+x^2))/(sqrt(a+x)-sqrt(a-x))` is continuous at `x=0` then `f(0)`

A

`asqrt(a)`

B

`sqrt(a)`

C

`-sqrt(a)`

D

`-asqrt(a)`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(sqrt(a^(2)-ax+x^(2))-sqrt(a^(2)+ax+x^(2)))/(sqrt(a+x)-sqrt(a-x)) is continuous at x=0 then f(0)

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

The value of f(0) , so that the function f(x) = (sqrt(a^(2)-ax+x^(3))-sqrt(a^(2)+ax+x^(2)))/(sqrt(a+x)-sqrt(a-x)) become continuous for all x, is given by

Value of f(0) so that f(x)=(sqrt(2+x)-sqrt(2))/(x) is continuous at x=0 is

If f(x) = (sqrt(4 +x)-2)/(x) is continuous x=0 then the value of f(0) is

f(x)=sqrt(x-4-2sqrt(x-5))

Prove that f(x)=sqrt(|x|-x) is continuous for all x>=0

Prove that f(x)=sqrt(|x|-x) is continuous for all x>=0

MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. Function f(x) = (1-cos 4x)//(8x^(2)), " where " x != 0 , and f(x) = k...

    Text Solution

    |

  2. If : f(x) {: ((1-sin x)/(pi-2x)", ... " x != pi//2 ),(=lambda ",...

    Text Solution

    |

  3. If f(x)=(sqrt(a^2-a x+x^2)-sqrt(a^2+a x+x^2))/(sqrt(a+x)-sqrt(a-x)) is...

    Text Solution

    |

  4. If S(1)= sum(r=1)^(n) r , S(2) = sum(r=1)^(n) r^(2),S(3) = sum(r=1)^(n...

    Text Solution

    |

  5. underset(x to (pi)/(2))(lim)(a^(cot x) -a^(cosx))/(cot x- cot x ) is ...

    Text Solution

    |

  6. lim (x to oo) (1-4/(x-1))^(3x-1)=

    Text Solution

    |

  7. If alpha is not an integral multiple of pi , then : lim(x to alpha)...

    Text Solution

    |

  8. lim(h -> 0) (sin(a+3h)-3sin(a+2h)+3sin(a+h)-sina)/h^3 =

    Text Solution

    |

  9. lim (x to n ) (-1)^([x])=

    Text Solution

    |

  10. Evaluate: ("lim")(hvec0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(...

    Text Solution

    |

  11. If f(x) = 0 is a quadratic equation such that f(-pi) =f(pi) = 0 and f(...

    Text Solution

    |

  12. f(x)={((8^x-4^x-2^x+1)/x^2, ;xgt0),(e^xsinx+pix+lambda.ln4,;xle0):} ...

    Text Solution

    |

  13. If f(x) f(x) = (log{(1+x)^(1+x)}-x)/(x^(2)), x != 0 , is continuous a...

    Text Solution

    |

  14. If the function f as defined below is continuous at x=0find the values...

    Text Solution

    |

  15. Let : f(x) {:(=(1-cos 4x)/(x^(2))", ... "x lt 0 ),(= a", ...

    Text Solution

    |

  16. The function (x^(3)-8)/(x^(2)-x-20) is continuous over the domain :

    Text Solution

    |

  17. The value of a and b such that the function f(x) {:{(-2 sin x", ...

    Text Solution

    |

  18. The value of lim(x to e) (log x^(2)-2)/(sqrt(x)-sqrt(e)) is

    Text Solution

    |

  19. If f(x) {:(= 4x - 3 ", for " 0 lt x le 2 ),(= 4x+ 3k " , for " ...

    Text Solution

    |

  20. If f(x) {: (=(x^(2)-2x-3)/(x-3)" , for " 0 le x le 4 ),(= (x^(2)-1)/(x...

    Text Solution

    |