Home
Class 12
MATHS
If the graphs of the functionsy= log (e)...

If the graphs of the functions`y= log _(e)x and y = ax` intersect at exactly two points,then find the value of `a`.

A

(0,e)

B

`(1/e,0)`

C

`(0,1/e)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 12|4 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

The graph y=2x^(3)-4x+2 and y=x^(3)+2x-1 intersect in exactly 3 distinct points.Then find the slope of the line passing through two of these points.

Find the range of function y=ln(2 x-x^(2))

Given the graphs of the two functions, y= f(x) & y =g(x). In theadjacent figure from point A on the graph of the function y fx)corresponding to the given value of the independent variable (say x),a straight line is drawn parallel to the X-axis to intersect the bisectorof the first and the third quadrants at point B. From the point B astraight line parallel to the Y-axis is drawn to intersect the graph ofthe function y= g(x) at C. Again a straight line is drawn from the point C parallel to the X-axis, to intersect the line NN' at D. If thestraight line NN' is parallel to Y-axis, then the co-ordinates of the point D are

If the graph of the function y=f(x) has a unique tangent at the point (a,0) through which the graph passes,then evaluate lim_(x rarr a)(log_(e){1+6f(x)})/(3f(x))

In the given figure, the two lines AB and CD intersect at a point O such that angleBOC=125^(@) . Find the values of x, y, and z.

For what values of a the graphs of the functions y=2ax+1 and y=(a-6)x^(2)-2 not intersect?

Draw the graph of the function y= 3x and from the graph , find the value of y, when x=4

Draw the graph of y= x ^((1)/(log_(e)x)) .

A line x=k intersects the graph of y=log_(4)x and y=log_(4)(x+4). The distance between the points of intersection is 0.5, then the value of k is

Draw the graph of y=log_(e)3x and compare with y=log_(e)x .

ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. If f(x) is continuous such that abs(f(x)) le 1, forall x in R " and " ...

    Text Solution

    |

  2. Let f(x)=sqrt(|x|-{x}), where {.} denotes the fractional part of x an ...

    Text Solution

    |

  3. If the graphs of the functionsy= log (e)x and y = ax intersect at exac...

    Text Solution

    |

  4. A quadratic polynominal maps from [-2,3] onto [0,3] and touches X-axis...

    Text Solution

    |

  5. The range of the function y=sqrt(2{x}-{x}^2-3/4) (where, denotes the f...

    Text Solution

    |

  6. Let f(x) be a fourth differentiable function such f(2x^2-1)=2xf(x)AA x...

    Text Solution

    |

  7. The number of solutions of the equation [y+[y]]=2 cosx, where y=(1)...

    Text Solution

    |

  8. If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x), then period of f(x)...

    Text Solution

    |

  9. If x and alpha are real, then the inequation log(2)x+log(x)2+2cos al...

    Text Solution

    |

  10. The range of values of ‘a' such that (1/2)^|x|= x² - a is satisfied f...

    Text Solution

    |

  11. Let f:R rarr R be a function defined by f(x)={abs(cosx)}, where {x} re...

    Text Solution

    |

  12. The domain of the function f(x)=sqrt(log(sinx+cosx)(abs(cosx)+cosx))...

    Text Solution

    |

  13. If f(x)=(x^(2)+2alphax+alpha^(2)-1)^(1//4) has its domain and range su...

    Text Solution

    |

  14. If f: (e,oo) rarr R & f(x)=log[log (logx)], then f is -

    Text Solution

    |

  15. The expression x^2-4px+q^2> 0 for all real x and also r^2+ p^2 < qr t...

    Text Solution

    |

  16. Let f(x)=(x^(4)-lambdax^(3)-3x^(2)+3lambdax)/(x-lambda). If range of f...

    Text Solution

    |

  17. Let a=3^(1//224)+1 and for all n ge 3, let f(n)=""^(n)C(0)a^(n-1)-""...

    Text Solution

    |

  18. The area bounded by f(x)=sin^(-1)(sinx) and g(x)=pi/2-sqrt(pi^(2)/2-...

    Text Solution

    |

  19. If f.R rarr R,f(x)=(x^(2)+bx+1)/(x^(2)+2x+b),(b gt 1) " and " f(x), 1/...

    Text Solution

    |

  20. The period of sin""(pi[x])/12+cos""(pi[x])/4+tan""(pi[x])/3, where [x]...

    Text Solution

    |