Consider the circle x2 + y2 = 9 and the parabola y2 = 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.
1. The ratio of the area of the triangles PQS and PQR is
a. 1:√2
b. 1:2
c. 1:4
d. 1:8
2. The radius of the circum circle of the triangle PRS is
a. 5
b. 3√3
c. 3√2
d. 2√3
3. The radius of the in circle of the triangle PQR is
a. 4
b. 3
c. 8/3
d. 2