If two distinct points \( Q, R \) lie on the line of intersection of the planes \( -x+2 y-z=0 \)...

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If two distinct points \( Q, R \) lie on the line of intersection of the planes \( -x+2 y-z=0 \) and \( 3 x-5 y+2 z=0 \) and \( P Q=P R \) \( \sqrt{18} \), where the point \( P \) is \( (1,-2,3) \), then the area of the \( \triangle P Q R \) is equal to
(a) \( \frac{2}{3} \sqrt{38} \)
(b) \( \frac{4}{3} \sqrt{38} \)
(c) \( \frac{8}{3} \sqrt{38} \)
(d) \( \sqrt{\frac{152}{3}} \)
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