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\( P \) is a variable point on the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=2 \) whose foci are \( F_{1} \) and \( F_{2} \). The maximum area (in
\( \mathrm{P} \) unit) \( { }^{2} \) of the \( \triangle P F F^{\prime} \) is

W.
(a) \( 2 b \sqrt{a^{2}-b^{2}} \)
(b) \( \sqrt{2} b \sqrt{a^{2}-b^{2}} \)
(c) \( b \sqrt{a^{2}-b^{2}} \)
(d) \( 2 a \sqrt{a^{2}-b^{2}} \)
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