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AP EAMCET202125 Aug 2021Morning ShiftMathematicsQuadratic EquationActual

If the roots of the equation x^3-a x^2+b x-c=0 are in HP, then the mean of the roots is

Options

  1. Aa 3 c
  2. Bb 3 c
  3. Ca
  4. D3 c b

Correct answer

D. 3 c b

Step-by-step solution

Let , , are roots of equation array r x^3-a x^2+b x-c=0 + + =a + + =b =c array It is given that , , are in HP. 1 , 1 , 1 are in AP. Mean of roots = 3 1 + 1 + 1 = 3 + + = 3 c b

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