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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

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The correct Answer is:
`m in phi`
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Knowledge Check

  • Find all the values of x that satisfy (|x-1|-3)(|x+2|-5)lt0

    A
    `(-7,-2)`
    B
    (3,4)
    C
    `(-7,4)-(-2,3)`
    D
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  • If |(x^(2)+mx+1)/(x^(2)+x+1)|lt3 for all real x, then

    A
    `m lt -1`
    B
    `-1 lt m lt 6`
    C
    `-1 lt m lt 5`
    D
    `m gt 6`

  • Find all the values of m for the equation (m-4)-2mx+(m-5)x^2=0 so that one root is less than 1 and another one is greater than 2.

    A
    `(20/9,24)`
    B
    (6,24)
    C
    (5,24)
    D
    `(20/9,oo)`

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