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in Parabola by (51.3k points)
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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

1 Answer

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by (51.0k points)
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Best answer

1. c. 1:4

Point of intersection of circle & parabola

2. b. 3√3

3. d. 2

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