Find the locus of the mid-points of the chord of the hyperbola \( \...

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Find the locus of the mid-points of the chord of the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) which subtend a right angle
\( \mathrm{P} \) at the origin is

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