Home
Class 12
MATHS
If f(x) = (x^(2)-10x +25)/(x^(2)-7x+10 f...

If `f(x) = (x^(2)-10x +25)/(x^(2)-7x+10` for `x ne 5` and f is continuous at x=5, then f(5) =

A

0

B

5

C

10

D

25

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

  • LINEAR INEQUALITIES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|54 Videos

Similar Questions

Explore conceptually related problems

If f(x) = {((x^(5)-32)/(x-2), x ne 2),(k, x =2):} is continuous at x = 2, then k =

If the function f(x) = {{:((x^(2)-(a+2)x + a)/(x-2),,x ne 2),(2,,x = 2):} is continuous at x = 2, then :

If f(x) = {((sin 5x)/(x^(2)+2x), x ne 0),(k+1/2, x =0):} is continuous at x = 0, then the value of k is

If the function f(x) = {(1-cos x)/(x^(2)) for x ne 0 is k for x = 0 continuous at x = 0, then the value of k is

If f : R rarr R is defined by f(x) = {((cos3x-cosx)/x^(2), x ne 0),(lambda, x = 0):} and if f is continuous at x = 0 then lambda is equal to

If f(x) = {{:((3 sin pi x)/(5 x),x ne 0),(2k,x = 0):} is continuous at x = 0, then the value of k is equal to :

Let f(x) = {((sin pix)/(5x), x ne 0),(k, x =0):} If f(x) is continuous at x =0, then the value of k is

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Consider f(x)={{:((x^(2))/(|x|)","x!=0),(0","x=0.):}

    Text Solution

    |

  2. If the function f(x) = {((sin 3x)/x, x ne 0),(k/2, x = 0):} is continu...

    Text Solution

    |

  3. If f(x) = (x^(2)-10x +25)/(x^(2)-7x+10 for x ne 5 and f is continuous ...

    Text Solution

    |

  4. If f : R rarr R is defined by f(x) ={(a^(2)cos^(2)+b^(2)sin^(2)x, x le...

    Text Solution

    |

  5. If f(x) ={((sqrt(1+kx)- sqrt(1-kx))/x, -1 le x le0),(2x^(2)+3x-2, 0 le...

    Text Solution

    |

  6. If f(x) = {((1-sqrt2sinx)/(pi-4x), x ne pi/4),(a, x = pi/4):} is conti...

    Text Solution

    |

  7. The value of b for which the function : f(x) = {{:(5x-4,"if",0lt x le ...

    Text Solution

    |

  8. The value of f(x) at x = 0, so that the function f(x) = (2^(x)-2^(-x))...

    Text Solution

    |

  9. The function f(x) = (log (1+ax) - log(1-bx))/(x) is not defined at x =...

    Text Solution

    |

  10. The function f(x) = [x], where [x] denotes the greatest integer not gr...

    Text Solution

    |

  11. If f(x)={{:((logex)/(x-1),,,x ne 1),(k,,,x=1):}is continuous at x = 1...

    Text Solution

    |

  12. f(x)=2a-x in -altxlta=3x-2a in a lex. Then which of the following i...

    Text Solution

    |

  13. Which of the following function is differentiable at x=0?

    Text Solution

    |

  14. Let f(x) = (1-tanx)/(4x-pi),x ne (pi)/(4), x in [0, (pi)/(2)], if f(x)...

    Text Solution

    |

  15. The function f : R//{0} rarr R given by : f(x) = (1)/(x) - (2)/(e^(2...

    Text Solution

    |

  16. If f : R rarr R is defined by f(x) = {((cos3x-cosx)/x^(2), x ne 0),(la...

    Text Solution

    |

  17. f(x) = (sqrt(1+px) - sqrt(1 - px))/(x), -1 le x le 0 = (2x + 1)/(x-2),...

    Text Solution

    |

  18. Let f(x) = {(x^(4)-5x^(2)+4)/(|(x-1)(x-2)|) x ne 1,2),(6, x=1), (12, x...

    Text Solution

    |

  19. Let f(x) = (1-sin x)/((pi - 2x)^(2)),"where x" ne pi//2 and f(pi//2) =...

    Text Solution

    |

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

    Text Solution

    |