Home
Class 12
MATHS
If the expression [m x-1+(1//x)] is non-...

If the expression `[m x-1+(1//x)]` is non-negative for all positive real `x ,` then the minimum value of `m` must be `-1//2` b. `0` c. `1//4` d. `1//2`

A

`-1/2`

B

`0`

C

`1/4`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 5|10 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 8 : (Questions Asked in Previous 13 years Exams)|1 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

Similar Questions

Explore conceptually related problems

For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:

If x-1/x=m then the value of x^3-1/x^3 is :

If a,b,c and d are four positive real numbers such that abcd=1 , what is the minimum value of (1+a)(1+b)(1+c)(1+d) .

If m_1,m_2 are the slopes of the two tangents that are drawn from (2,3) to the parabola y^2=4x , then the value of 1/m_1+1/m_2 is

If the range of function f(x) = (x + 1)/(k+x^(2)) contains the interval [-0,1] , then values of k can be equal to a. 0 b. 0.5 c. 1.25 d. 1.5

There exists a positive real number of x satisfying "cos"(tan^(-1)x)=xdot Then the value of cos^(-1)((x^2)/2)i s

Let f(x)=x+2|x+1|+x-1| . If f(x)=k has exactly one real solution, then the value of k is (a) 3 (b) 0 (c) 1 (d) 2

Find the number of non-negative integral solutions of x_1+x_2+x_3+4x_4=20.