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Mathematics
Problem
Find the locus of the mid-points of the chords of the hyperbola
x
2
a
2
−
y
2
b
2
=
1
\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1
a
2
x
2
−
b
2
y
2
=
1
which subtend a right angle at the origin.
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