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If \( a, b, c \) are the sides of \( \triangle A B C \) such that \( 3^{2 a^{2}}-2 \cdot 3^{a^{2}+b^{2}+c^{2}}+3^{2 b^{2}+2 c^{2}}=0 \), then If sides of \( \triangle P Q R \) are \( a, b \sec C, c \operatorname{cosec} C \). Then, area of \( \triangle P Q R \) is
(a) \( \frac{\sqrt{3}}{4} a^{2} \)
(b) \( \frac{\sqrt{3}}{4} b^{2} \)
(c) \( \frac{\sqrt{3}}{4} c^{2} \)
(d) \( \frac{1}{2} a b c \)
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