Home
Class 12
MATHS
The maximum value of f(x) =(log x)/(...

The maximum value of ` f(x) =(log x)/(x) (x ne 0, x ne 1)` is

A

1

B

`(2)/(e )`

C

e

D

`(1)/(e )`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUESTION-PAPERS-2012

    BITSAT GUIDE|Exercise Mathematics (Single correct answer type:)|45 Videos
  • QUESTION-PAPERS-2014

    BITSAT GUIDE|Exercise MATHEMATICS|45 Videos

Similar Questions

Explore conceptually related problems

The maximum value of f(x)=(logx)/(x)(x ne 0, x ne1) is

Show that f(x)=(log x)/(x), x ne 0 is maximum at x = e .

If f(x)= {(([x]-1)/(x-1), x ne 1),(0, x=1):} then f(x) is

If f (x) =x ^(2) + 1/x, x ne 0 then f ((1)/(x)) =

Find the value of f(0) so that the function f(x)=([log (1+x//12)-log (1-x//8)])/x , x ne 0 is continuous on [0,8].

If f(x) = (1)/(1 -x) x ne 1 and g(x) = (x-1)/(x) , x ne0 , then the value of g[f(x)] is :

The function f(x) = [{:(sin(ln |x|), x ne 0),(1, x=0):}

BITSAT GUIDE-QUESTION-PAPERS-2013-Mathematics
  1. The shaded region given below represents the constraints (other than x...

    Text Solution

    |

  2. The coefficient of x^(n) in the expansion of log(e ) ((1)/(1+x+x^(2)+x...

    Text Solution

    |

  3. The maximum value of f(x) =(log x)/(x) (x ne 0, x ne 1) is

    Text Solution

    |

  4. Let veca,vecb and vecc be non-zero vectors such that no two are collin...

    Text Solution

    |

  5. lim(x to 0)((1+5x^(2))/(1+3x^(2)))^(1//x^(2))=

    Text Solution

    |

  6. An object is observed from the points A, B and C lying in a horizontal...

    Text Solution

    |

  7. The function f:(-oo,-1) to (0, e^5] defined by f(x)=e^(x^(3-3x+2)) is

    Text Solution

    |

  8. The foci of the conic 25x^(2) +16y^(2)-150 x=175 are :

    Text Solution

    |

  9. The system of equations x-y+3z=4,x+z=2 x+y-z=0 has

    Text Solution

    |

  10. The sum of the sequence upto 5, 55, 555, …. upto n infinite terms is

    Text Solution

    |

  11. A plane passes through the point (1,-2,3) and is parallel to the plane...

    Text Solution

    |

  12. Distance between the pair of lines represented by the equation x^(2)-6...

    Text Solution

    |

  13. If A={x in CC : x^(4) -1=0} B={x in CC :x^(2) -1=0} C={x in CC :x^...

    Text Solution

    |

  14. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

    Text Solution

    |

  15. The set of all real x satisfying the inequality (3-|x|)/(4-|x|)ge 0

    Text Solution

    |

  16. If N is any four digit number say x1, x2, x3, x4, then the maximum val...

    Text Solution

    |

  17. If A and B are two events such that P(A)=0.6, P(B) =0.2 and P((A)/(B))...

    Text Solution

    |

  18. What is quartile deviation for the datsa {:(,x,2,3,4,5,6),(,f,3,4,8,4,...

    Text Solution

    |

  19. If intf(x)cos x dx = 1/2 f^(2)(x)+C, then f(x) can be

    Text Solution

    |

  20. There are 10 points in a plane, out of which 6 are collinear. If N is ...

    Text Solution

    |