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Show that the locus of the poles of chords of a hyperbola x^2/a^2-y^2/b^2=1 which subtend a right angle at the center is x^2/a^4-y^2/b^4=1/a^2-1/b^2

Show that the locus of the poles of chords of a hyperbola x^2/a^2-y^2/b^2=1 which subtend a right angle at the center is x^2/a^4-y^2/b^4=1/a^2-1/b^2

Grade:12th pass

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
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