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Passage Based Problems
Consider the circle \( x^{2}+y^{2}=9 \) and the parabola
\( \mathrm{P} \) \( y^{2}=8 x \). They intersect at \( P \) and \( Q \) in the first and the

W. fourth quadrants, respectively. Tangents to the circle at \( P \) and \( Q \) intersect the \( X \)-axis at \( R \) and tangents to the parabola at \( P \) and \( Q \) intersect the \( X \)-axis at \( S \).
\( (2007,8 \mathrm{M}) \)
The ratio of the areas of \( \triangle P Q S \) and \( \triangle P Q R \) is
(a) \( 1: \sqrt{2} \)
(b) \( 1: 2 \)
(c) \( 1: 4 \)
(d) \( 1: 8 \)
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