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Multiple choice

If the roots of the equation $\dfrac{1}{x+p}+\dfrac{1}{x+q}=\dfrac{1}{r}$ are equal in magnitude but opposite in sign, then the product of the roots is :

  1. $-2 (p^{2}+q^{2})$
  2. $-(p^{2}+q^{2})$
  3. $-(p^{2}+q^{2})/2$
  4. $-pq$
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