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\( P \) is any point on the hyperbola \( x^{2}-y^{2}=a^{2} \). If \( F_{1} \)
\( \mathrm{P} \) and \( F_{2} \) are the foci of the hyperbola and

W \( P F_{1} \cdot P F_{2}=\lambda(O P)^{2} \), where \( O \) is the origin, then \( \lambda \) is equal to
(1) 1
(2) \( \sqrt{2} \)
(3) 2
(4) 3
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