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Problem
Problem
The common tangent to the circle
x
2
+
y
2
=
2
x^2 + y^2 = 2
x
2
+
y
2
=
2
and the parabola
y
2
=
8
x
y^2 = 8x
y
2
=
8
x
touch the circle at the points
P
,
Q
P, Q
P
,
Q
and the parabola at the points
R
,
S
R, S
R
,
S
. Then, the area of the quadrilateral
P
Q
R
S
PQRS
P
QR
S
is a. 3 b. 6 c. 9 d. 15
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