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Mathematics
Problem
If the normal at the point '
t
1
t_1
t
1
' to the rectangular hyperbola
x
y
=
c
2
xy = c^2
x
y
=
c
2
meets it again at the point '
t
2
t_2
t
2
', prove that
t
1
t
2
=
−
1
t_1 t_2 = -1
t
1
t
2
=
−
1
.
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