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Mathematics
Mathematics
Problem
Consider the parabola given by the equation
y
2
=
8
x
y^{2} = 8x
y
2
=
8
x
. Three points
P
P
P
,
Q
Q
Q
, and
R
R
R
lie on the parabola corresponding to the parameter values
t
=
1
t = 1
t
=
1
,
t
=
2
t = 2
t
=
2
, and
t
=
3
t = 3
t
=
3
respectively. Calculate the area of the triangle
△
P
Q
R
\triangle PQR
△
P
QR
.
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