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AP EAMCET202318 May 2023Evening ShiftMathematicsQuadratic EquationActual

If the roots of the equation 3 x^2+4 k x+3=0 are non-real, then k lies in the interval

Options

  1. A[-2, -3 2 ]
  2. B[ 3 2 , 2 ]
  3. C[ -3 2 , 3 2 ]
  4. D(2,3)

Correct answer

C. [ -3 2 , 3 2 ]

Step-by-step solution

Given: 3 x ^2+4 kx +3=0 Above eq ^ n has non-real roots if aligned & (4 k )^2-4 3 3 < 0 & 16 k ^2-36 < 0 & k ^2 < 9 4 & - 3 2 < k < 3 2 aligned k lies in the interval (- 3 2 , 3 2 )

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