Consider the circle \( x^{2}+y^{2}=9 \) and the parabola \( y^{2}=8 x \). They intersect at \( P....

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Consider the circle \( x^{2}+y^{2}=9 \) and the parabola \( y^{2}=8 x \). They intersect at \( P \) and \( Q \) in the first and the
\( \mathrm{P} \)
fourth quadrants, respectively. The tangents to the circle at \( P \) and \( Q \) intersect \( x \)-axis at \( R \) and tangents to the parabola at \( P \) and \( Q \) intersect \( x \)-axis at \( S \).
Answer the following questions.
The radius of the circumcircle of \( \triangle P R S \) is:
(1) 5
(2) \( 3 \sqrt{3} \)
(3) \( 3 \sqrt{2} \)
(4) \( 2 \sqrt{3} \)


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