Home
Class 12
MATHS
If f(x) = (1)/(x^(2) - 17 x + 66), then ...

If `f(x) = (1)/(x^(2) - 17 x + 66)`, then `f((2)/(x - 2))` is discontinuous at x =

A

2

B

`2,7/3,24/11`

C

`7/3,24/11`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE main (Archive)|51 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL -1|134 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

If f(x) = (x + 1)/(x-1) and g(x) = (1)/(x-2) , then (fog)(x) is discontinuous at

If f(x) = sec 2x + cosec 2x, then f(x) is discontinuous at all points in

Show that f(x)={1+x^2, if 0 1 is discontinuous at x=1 .

If a function y=f(x) is defined as y=(1)/(t^(2)-t-6)and t=(1)/(x-2), t in R . Then f(x) is discontinuous at

If f(x)={|x|-3 x = 1 & g(x)={2-|x| x = 2. if h(x)=f(x)+g(x) is discontinuous at exactly one point, then -

If 2f(x^2)+3f(1/x^2)=x^2-1 , then f(x^2) is

If f(x)=sqrt(x^(2)-2x+1), then f' (x) ?

If f(x)={'x^2(sgn[x])+{x},0 Option 1. f(x) is differentiable at x = 1 Option 2. f(x) is continuous but non-differentiable at x = 1 Option 3. f(x) is non-differentiable at x = 2 Option 4. f(x) is discontinuous at x = 2

Let f (x)= signum (x) and g (x) =x (x ^(2) -10x+21), then the number of points of discontinuity of f [g (x)] is

Let f(x)=(1-cosx)/(x^2),\ \ \ w h e n\ x!=0,\ f(x)=1,\ \ \ w h e n\ x=0 . Show that f(x) is discontinuous at x=0 .

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL 2
  1. Let f(x) be a function satisfying f(x+y)=f(x)f(y) for all x,y in R and...

    Text Solution

    |

  2. "If "f(x)+f(y)=f((x+y)/(1-xy))" for all "x,y in R, (xyne1), and under...

    Text Solution

    |

  3. Let f(x) be real valued differentiable function not identically zero s...

    Text Solution

    |

  4. lim(x->oo)(1+a^2)^xsinb/((1+a^2)^x), where a!=0 (a) Both f (x) and g(x...

    Text Solution

    |

  5. If x=int(0)^(y)(dt)/(sqrt(1+9t^(2)))and (d^(2)y)/(dx^(2))=a^(2)y then ...

    Text Solution

    |

  6. Two functions f and g have first and second derivates at x=0 and satis...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. "If "y=tan^(-1)""(1)/(1+x+x^(2))+tan^(-1)""(1)/(x^(2)+3x+3)+tan^(-1)""...

    Text Solution

    |

  9. If y=f(x) and x=g(y) are inverse of each other. Then g'(y) and g"(y) i...

    Text Solution

    |

  10. Given g(x)=(1/x), h(x)=x^(2)+2x+(lamda+1) and u(x)=1/x+cos(1/(x^(2))) ...

    Text Solution

    |

  11. Given g(x)=(1/x), h(x)=x^(2)+2x+(lamda+1) and u(x)=1/x+cos(1/(x^(2))) ...

    Text Solution

    |

  12. Given g(x)=(1/x), h(x)=x^(2)+2x+(lamda+1) and u(x)=1/x+cos(1/(x^(2))) ...

    Text Solution

    |

  13. The value of lim(n->oo)[(2n)/(2n^2-1)cos(n+1)/(2n-1)-n/(1-2n)dot(n(-1)...

    Text Solution

    |

  14. Evaluate: ("lim")(nvecpi/2)(sinx-(sinx)^(sinx))/(-sinx+(log)esinx)

    Text Solution

    |

  15. If f(x) = (1)/(x^(2) - 17 x + 66), then f((2)/(x - 2)) is discontinuou...

    Text Solution

    |

  16. if f(x) =x^(2) + (x^(2))/(1+x^(2)) + (x^(2))/((1+x^(2))^(2)) +……" upt...

    Text Solution

    |

  17. The point of discontinuity of f(x)=underset(n to oo)lim ((2 sin x)^(2...

    Text Solution

    |

  18. If underset(xrarr0)(lim)(x^3)/(sqrt(a+x)(bx-sinx))=1,agt0, then a+b is...

    Text Solution

    |

  19. The value of lim(xto0)((1^(x)+2^(x)+3^(x)+…………+n^(x))/n)^(a//x) is

    Text Solution

    |

  20. A single formula that gives f(x) for all x ge0 where f(x)={(3+x, 0lexl...

    Text Solution

    |