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If \( P S Q \) and \( P S S^{\prime} \) are two chords of an ellipse through its foci \( S \) and \( S^{\prime} \) respectively, then \( \frac{P S}{S Q}+\frac{P S^{\prime}}{S^{\prime} R}= \)
(A) \( 2\left(\frac{1+e^{2}}{1-e^{2}}\right) \)
(B) \( \frac{1+e^{2}}{1-e^{2}} \)
(C) \( 2\left(\frac{1-e^{2}}{1+e^{2}}\right) \)
(D) \( \frac{1-e^{2}}{1+e^{2}} \)
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