Multiple choice

If the roots of the equation $x^2+p x +qp$ are opposite in sign, then the product of the roots is equal to

$ \displaystyle \frac{p^{2}+q^{2}}{2}$
$\displaystyle \frac{p^{2}-q^{2}}{2}$
$-\displaystyle \frac{p^{2}+q^{2}}{2}$
$\displaystyle \frac{\mathrm{p}^{2}-\mathrm{q}^{2}}{2}$

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