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Mathematics
Mathematics
Problem
Three points
A
A
A
,
B
B
B
, and
C
C
C
lie on the parabola
y
2
=
4
x
y^{2} = 4x
y
2
=
4
x
. The ordinates (
y
y
y
-coordinates) of these points form a Geometric Progression with a common ratio of
2
2
2
. If the ordinate of point
A
A
A
is
2
2
2
, calculate the area of
△
A
B
C
\triangle ABC
△
A
B
C
.
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