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AP EAMCET2003MathematicsQuadratic Equation

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

Options

  1. A-r
  2. Br
  3. C2 r
  4. D-2 r

Correct answer

A. -r

Step-by-step solution

Given that, x^3+p x^2-q x+r=0 (i) Let , , are roots of this equation + + =-p (ii) + + =-q (iii) and =-r (iv) Now, p q=( + + )( + + )=(0+ )( + ( + ))[ + =0 given ]= ( +0)= =-r

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