Instructions

Consider the circle $$x^2 + y^2 = 9$$ and the parabola $$y^2 = 8x$$. They intersect at P and Q in the first and the 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.

Question 61

The ratio of the areas of the triangles PQS and PQR is


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