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Mathematics
Mathematics
Problem
For the hyperbola given by the equation
x
2
16
−
y
2
9
=
1
\frac{x^{2}}{16} - \frac{y^{2}}{9} = 1
16
x
2
−
9
y
2
=
1
, determine the range of values for the constant
c
c
c
such that the line
y
=
2
x
+
c
y = 2x + c
y
=
2
x
+
c
intersects the hyperbola at two distinct real points.
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