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Mathematics
Problem
Prove that the straight lines
x
a
−
y
b
=
m
\frac{x}{a} - \frac{y}{b} = m
a
x
−
b
y
=
m
and
x
a
+
y
b
=
1
m
\frac{x}{a} + \frac{y}{b} = \frac{1}{m}
a
x
+
b
y
=
m
1
always meet on a hyperbola.
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