If $P N$ is the perpendicular from a point on a rectangular hyperbola $x y = c^{2}$ to its asymptotes, then find the locus of the midpoint of $P N$

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P N

is the perpendicular from a point on a rectangular hyperbola

x y = c^{2}

to its asymptotes, then find the locus of the midpoint of

P N

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Question Text

P N

is the perpendicular from a point on a rectangular hyperbola

x y = c^{2}

to its asymptotes, then find the locus of the midpoint of

P N

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