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AP EAMCET201823 Apr 2018Morning ShiftMathematicsQuadratic EquationActual

If the sum of any two roots of the equation x^3+p x^2+q x+r=0 is zero, then

Options

  1. Ar=p q
  2. Bp q^2=r
  3. Cr^2=p q
  4. Dp q r=1

Correct answer

A. r=p q

Step-by-step solution

Given equation, x^3+p x^2+q x+r Let roots of given equation are , and [From Eqs. (i) and (ii)] =-p Substituting this value in Eq. (iv) (-p)=-r = r p Substituting this value in Eq. (iii) aligned r p +r( + ) & =+q r p & =+q r & =p q aligned [ + =0]

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