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Mathematics
Mathematics
Problem
The tangent to a rectangular hyperbola forms a
△
o
f
\triangle of
△
o
f
area
32
32
32
square units with the coordinate axes. If the hyperbola has the equation
x
y
=
c
2
xy = c^{2}
x
y
=
c
2
, determine the value of the constant
c
c
c
. (Assume
c
>
0
c > 0
c
>
0
).
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