Home
Class 12
MATHS
Function f(x) = sqrt(9-x^(2)) is continu...

Function `f(x) = sqrt(9-x^(2))` is continuous in

A

`[-3,0]`

B

`[0,3]`

C

`[3,oo]`

D

`[-3,3]`

Text Solution

Verified by Experts

The correct Answer is:
d
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

What is the interval in which the function f(x) = sqrt(9-x^(2)) is increasing ? (f(x)gt0)

" (i) The domain of the function "f(x)=sqrt(9-x^(2))" is: "

" (i) The domain of the function "f(x)=sqrt(9-x^(2))" is: "

Function f(x)={x-1,x =2 is a continuous function

The domain of the function f(x) = (1)/(sqrt(9 - x^(2))) is

Prove that the function f(x) =2x-|x| is continuous at x=0.

Show that the function defined by f(x)=cos(x^(2)) is a continuous function.

Show that the function defined by f(x)=sin(x^(2)) is a continuous function.

Show that the function f(x) =x^2 is continuous and differentiable at x=2.

MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. If f(x)= {{:((sqrt(1+kx)-sqrt(1-kx))/x", if "-1/2 lex lt 0),(2x^(...

    Text Solution

    |

  2. If f(x) = (x^(2)-4x+3)/(3x^(2)-10x+3), x!= 3 is continuous at x = 3 ...

    Text Solution

    |

  3. Function f(x) = sqrt(9-x^(2)) is continuous in

    Text Solution

    |

  4. Function f(x) = (x-2)/(x^(2)-5x+6) is discontinuous at x = …..

    Text Solution

    |

  5. Function f(x) = 1/(2x^(2)+x+1) is

    Text Solution

    |

  6. If f(u) = 1/(u^(2)+u-2) , where u = 1/(x-1) , then the points of dis...

    Text Solution

    |

  7. If f(x) {:(=(1+kx)^(1//x)", if "x!= 0 ),(=e^(4)", ...

    Text Solution

    |

  8. If f(x) = {:((8^(x)-2^(x))/(k^(x)-1)", if " x != 0 ),(=2", ...

    Text Solution

    |

  9. If f(x) (10^(x)+7^(x)-14^(x)-5^(x))/(1-cos x), x != 0 is continuous ...

    Text Solution

    |

  10. If f(x) = {:(a^(2)sin^(2)x+e^(2) cos^(2)x", if " x le 0 ),(=e^(ax+b...

    Text Solution

    |

  11. Value of a so that f(x) = (sin^(2)ax)/(x^(2)), x != 0 and f(0) = 1 ...

    Text Solution

    |

  12. Value of f(0) so that f(x) = (sin(x^(2)+4x)-sin 4x)/(x tan x ) x !...

    Text Solution

    |

  13. At x = 0 , f(x) {:(=x-2", if " x lt 0 ),(= 1//2", if " x = 0...

    Text Solution

    |

  14. If f(x) {:(=-x^(2)", if " x le 0 ), (= 5x - 4 ", ...

    Text Solution

    |

  15. Function f(x)={{:(2x-1", if "x le 1 ),(x^(2)", if "1 ...

    Text Solution

    |

  16. If f(x) {:(=x^(2)-1", if "x lt 3 ),(= 2ax ", if "x le 3 )...

    Text Solution

    |

  17. If f(x) {: (=x^(3)", if " x lt 1//2 ),(= ax^(2)", if " x ge 1...

    Text Solution

    |

  18. If f(x) {:(=x+1", if " x le 1 ),(= 3 + ax^(2)", if "x gt 1 ...

    Text Solution

    |

  19. If f(x)={((sqrt(1+px)-sqrt(1-px))/(x) ",", -1 le x lt 0),((2x+1)/(x-2...

    Text Solution

    |

  20. If f(x) {:(=3k", if "x le 1/2 ),(= 3/2-2x " , if...

    Text Solution

    |