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If 4x^(2) + kx + 3 ge 0 for all real val...

If `4x^(2) + kx + 3 ge 0` for all real values of x then k lies in the interval

A

`(-3sqrt3, 4sqrt3)`

B

`[-4sqrt3, 4sqrt3]`

C

`((-1)/(4), (1)/(4))`

D

`((1)/(4), (-1)/(4))`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-PRACTICE EXERCISE
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  3. If x in R, then the range of (x)/(x^(2)-5x + 9) is

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  4. If 4 lt x lt 8 then the value of 12x -x^(2) - 32 is

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  6. The range of values of x which satisfy 2x^(2) + 9x + 4 lt 0 and x^(2) ...

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  7. If x^(2) + 6x-27 gt 0, -x^(2) + 3x + 4 lt 0, then x lies in the interv...

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  8. If 4x^(2) + kx + 3 ge 0 for all real values of x then k lies in the in...

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  9. The greatest negative integer satisfying x^(2) - 4x - 77 lt 0 and x^(2...

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  10. IF the inequation sqrt(3x -8) lt -2 then

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  11. The range of values of x for which the inequality (x-1)/(4x+5) lt (x-3...

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  12. If sqrt(2x - 4) le 2 - x, then the range of x is

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  13. The integer k for which the inequality x^(2) - 2 (4k - 1)x + 15k^(2) -...

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  14. If x^(2)- y^(2) + 4x-6y + k is resolvable into two linear factors, the...

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  15. If x^2 + 4y ^2 - 8x +12 =0 is satified by real values of x na...

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  16. The quadratic equation ax^(2) + bx + c = 0 has two roots then match th...

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  17. If a and b are the non-zero roots of the equation x^(2) + ax + b = 0, ...

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  18. If one root is the n^("th") power of the other root of the equation x^...

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  19. The values of x for which the inequality (8x^(2)+16x-51)/((2x-3)(x+4))...

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  20. If |(x^(2) + kx + 1)/(x^(2)+x+1)| lt 3 for real x, then k is in the in...

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