The common tangents to the circle and the parabola touch the circle at the points and…

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The common tangents to the circle

x^2+y^2=2

and the parabola

y^2=8x

touch the circle at the points

P,Q

and the parabola at the points

R,S

. Then, the area of the quadrilateral

PQRS

is (1) 3 (2) 6 (3) 9 (4) 15