Quantitative Aptitude Algebra Quadratic Equation

The roots of equation \(\frac{1}{{x + p}} + \frac{1}{{x + q}} = \frac{1}{r}\) are equal and opposite in sign, then

1
\(r = \frac{{pq}}{{p + q}}\)
2
\(r = \frac{{p+q}}{{2}}\)
3
\(r = \frac{{p+q}}{{p q}}\)
4
\(r = \frac{{p-q}}{{2}}\)

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