Home
Class 12
MATHS
To find the point of contact P (x1, y1) ...

To find the point of contact `P (x_1, y_1)` of a tangent to the graph of `y = f(x)` passing through origin O, we equate the slope of tangent to `y = f(x)` at P to the slope of OP. Hence we solve the equation `f' (x) = f(x_1)/x_1` to get `x_1` and `y_1`.Now answer the following questions (7 -9): The equation `|lnmx|= px` where m is a positive constant has a single root for

A

`p(m)/(e)`

B

`p=(e)/(m)`

C

`0lt ple(e)/(m)`

D

`0lt p le(m)/(e)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise EXERCISE : 5|1 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Matching Type Questions)|1 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos
  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 10|4 Videos
  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a curve passing through (1,1) and whose slope of tangent at a point (x, y) is -(x)/(y) .

A curve y=f(x) is passing through (0,0). If slope of the curve at any point (x,y) is equal to (x+xy), then the number of solution of the equation f(x)=1, is :

The slope m of a tangent through the point (7,1) to the circle x^(2)+y^2=25 satisfies the equation.

The graph of the function y=f(x) is shown. Find the number of solutions to the equation ||f(x)|-1|=(1)/(2) .

Find the equation of the cure which passes through the origin and has the slope x+3y-1\ at the point (x , y) on it.

The equation of the curve passing through the point (1,pi/4) and having a slope of tangent at any point (x,y) as y/x - cos^2(y/x) is

The equation of the curve passing through the point (1,pi/4) and having a slope of tangent at any point (x,y) as y/x - cos^2(y/x) is

If the graph of the function y = f(x) is as shown : The graph of y = 1//2(|f(x)|-f(x)) is

If the graph of the function y = f(x) is as shown : the graph of y = 1/2( |f(x)| - f(x)) is

If the graph of the function y = f(x) is as shown : The graph of y = 1//2(|f(x)|-f(x)) is