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AP EAMCET202421 May 2024Morning ShiftMathematicsSequences and SeriesActual

If the roots of the equation 4 x^3-12 x^2+11 x+m=0 are ir arithmetic progression, then m=

Options

  1. A-3
  2. B1
  3. C2
  4. D3

Correct answer

A. -3

Step-by-step solution

4 x^3-12 x^2+11 x+m=0 Let the roots be A-d, A, A+d3 A=3 A=1 and roots are 1-d, 1,1+d aligned & 1-d+1+d+1-d^2= 11 4 d= 1 2 & Product of roots = 1 2 1 3 2 3 4 = -m 4 m=-3 aligned

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