Suppose \( F_{1} \) and \( F_{2} \) are two foci of the ellipse \( ...

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Suppose \( F_{1} \) and \( F_{2} \) are two foci of the ellipse \( 4 x^{2}+ \) \( 9 y^{2}=36 \). Let \( P \) a point on the ellipse such that \( P F_{1} \) :
\( P F_{2}=2: 1 \). Then area of \( \triangle P F_{1} F_{2} \) is
(a) 1 (unit) \( { }^{2} \)
(b) 2 (unit \( ^{2} \)
(c) 3 (unit \( ^{2} \)
(d) 4 (unit \( ^{2} \)
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