Home
Class 12
MATHS
The function f(x)= (4-x^(2))/(4x-x^(3)) ...

The function `f(x)= (4-x^(2))/(4x-x^(3))` is

A

discontinuous at only one point

B

discontinuous at exactly two points

C

discontinuous at exactly three points

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Fillers)|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (True/False)|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Long Answer Type Questions)|10 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=(2x^(2)-1)/(x^(4)), x gt 0 , decreases in the interval …………. .

Find the domain of the function f(x)=(x^(2)+3x+5)/(x^(2)-5x+4)

For which value of x, the function f(x)= (e^(sin x))/(4-sqrt(x^(2)-9)) is discontinuous?

The domain of the real value function f(x) = sqrt(5-4x-x^(2))+x^(2)log(x+4) is ...........

Find the range of the following function f(x)= (4-x)/(x-4), x in R

The function f(x)=2x^(3)-3x^(2)-12x+4 , has …………

The function f(x)=4 sin^(3)x-6 sin^(2)x+12 sin x + 100 is strictly …………

The function f(x)= (2- root(4)(x^(2) +16))/(cos 2x-1) is continuous at x=0 then f(0)= …….

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-NCERT Exemplar Problems and Solution (Objective Type Questions)
  1. If y= log ((1- x^(2))/(1+ x^(2))), then (dy)/(dx) is equal to

    Text Solution

    |

  2. If y= sqrt(sin x + y), then (dy)/(dx) is equal to

    Text Solution

    |

  3. The derivative of cos^(-1) (2x^(2)-1) w.r.t cos^(-1)x is

    Text Solution

    |

  4. If x= t^(2) and y= t^(3), then (d^(2)y)/(dx^(2)) is equal to

    Text Solution

    |

  5. The value of c in Rolle's theorem for the function f(x)= x^(3) in the ...

    Text Solution

    |

  6. For the function f(x)= x + (1)/(x), x in [1, 3] the value of c for mea...

    Text Solution

    |

  7. If f(x)= 2x and g(x) = (x^(2))/(2) + 1, then which of the following ca...

    Text Solution

    |

  8. The function f(x)= (4-x^(2))/(4x-x^(3)) is

    Text Solution

    |

  9. The set of points where the function f given by f(x)= |2x-1| sin x is ...

    Text Solution

    |

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

    Text Solution

    |

  11. The function f(x)= e^(|x|) is

    Text Solution

    |

  12. If f(x)= x^(2) sin ((1)/(x)), where x ne 0, then the value of the func...

    Text Solution

    |

  13. If f(x) {(mx + 1,x le (pi)/(2)),((sin x)+ n,x gt (pi)/(2)):} is contin...

    Text Solution

    |

  14. If f(x) = |cos x|, then f'((pi)/(4)) is equal to …… 0 lt x lt (pi)/(2)

    Text Solution

    |

  15. If y= log ((1- x^(2))/(1+ x^(2))), then (dy)/(dx) is equal to

    Text Solution

    |

  16. If y= sqrt(sin x + y), then (dy)/(dx) is equal to

    Text Solution

    |

  17. The derivative of cos^(-1) (2x^(2)-1) w.r.t cos^(-1)x is

    Text Solution

    |

  18. If x= t^(2) and y= t^(3), then (d^(2)y)/(dx^(2)) is equal to

    Text Solution

    |

  19. The value of c in Rolle's theorem for the function f(x)= x^(3) in the ...

    Text Solution

    |

  20. For the function f(x)= x + (1)/(x), x in [1, 3] the value of c for mea...

    Text Solution

    |