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AP EAMCET201823 Apr 2018Evening ShiftMathematicsQuadratic EquationActual

If the equation whose roots are p times the roots of x^4-2 a x^3+4 b x^2+8 a x+16=0 is a reciprocal equation, then |p|=

Options

  1. A3
  2. B2
  3. C1 2
  4. D1 3

Correct answer

C. 1 2

Step-by-step solution

Let the roots are , , , for the equation x^4-2 a x^3+4 b x^2+8 a x+16=0 ...(i) So, =16 For the reciprocal equation roots are p , p , p and p , so product of roots =1 p^4 =1 ...(ii) From Eqs. (i) and (ii), we are getting |p|=1 / 2

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