Chords of contact of a point P with respect to the hyperbola X^2/A^2-Y^2/B^2=1 and its auxiliary circle are at right - Maths -

Question

Chords of contact of a point P with respect to the hyperbola
X^2/A^2-Y^2/B^2=1 and its auxiliary circle are at right angles
Prove that the point P lies on one of the asymptotes of the
hyperbola

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Chords of contact of a point P with respect to the hyperbola X^2/A^2-Y^2/B^2=1 and its auxiliary circle are at right angles. Prove that the point P lies on one of the asymptotes of the hyperbola.