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Let \( P \) be a variable point on the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \)
\( \mathrm{P} \) with foci \( F_{1} \) and \( F_{2} \). If \( A \) is area of \( \triangle P F_{1} F_{2} \), then maximum value of \( A \) is:
(1) \( a e / b \)
(2) \( a e . b \)
(3) \( a b / e \)
(4) \( e / a b \)
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