Home
Class 12
MATHS
Find all values of 'm' which (2m-3)x^(2)...

Find all values of 'm' which `(2m-3)x^(2)+2mx+4 lt 0` for all real x.

Text Solution

Verified by Experts

The correct Answer is:
`m in phi`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|18 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|3 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise For Session 3|12 Videos
  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|24 Videos

Similar Questions

Explore conceptually related problems

The set of values of k for which x^2 - kx + sin^-1 (sin 4) > 0 for all real x is

Find the values of 'a' for which -3<(x^2+ax-2)/(x^2+x+1)<2 is valid for all real x.

Find the values of m for which roots of equation x^(2)-mx+1=0 are less than unity.

If A = sin^2x + cos^4 x , then for all real x :

The function f(x) = x^2 , for all real x is

Find all the values of alpha for which : sin^4 x + cos^4 x + sin 2x +alpha =0 is valid.

Find all the values of the parameter 'a' for which the inequality 4^x-a2^x-a+3 <= 0 is satisfied by at least one real x.

Find the valuesof m for which exactly one root of the equation x^(2)-2mx+m^(2)-1=0 lies in the interval (-2,4)

Let x^2-(m-3)x+m=0 (mepsilonR) be a quadratic equation . Find the values of m for which the roots are real and distinct

Find all values of the parameter a for which the inequality a.9^x +4(a-1)3^x+a gt 1 is satisfied for all real values of x