(i) The ratio of the areas of △PQS and △PQR is (a) 1:√2 (b) 1:2 (c) 1:40 (d) 1:8

Question

Read the following passage and answer the questions.

Consider the circle x² + y² = 9 and the parabola y² = 8x. They intersect at P & Q in the first and fourth quadrants, respectively. Tangents to the circle at P & Q intersect the x–axis at R and tangents to the parabola at P & Q intersect the x axis at S.

(i) The ratio of the areas of △PQS and △PQR is

(a) 1:√2

(b) 1:2

(c) 1:40

(d) 1:8

(ii) The radius of the circumcircle of the △PRS is

(a) 5

(b) 3√3

(c) 3√2

(d) 2√3

(iii) The radius of the incircle of the triangle PQR is

(a) 4

(b) 3

(c) 8/3

(d) 2

Answer 1

(i) (c) 1:40

(ii) (b) 3√3

(iii) (d) 2