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A variable chord of the hyperbola (x^2)/...

A variable chord of the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1,(b > a),` subtends a right angle at the center of the hyperbola if this chord touches. a fixed circle concentric with the hyperbola a fixed ellipse concentric with the hyperbola a fixed hyperbola concentric with the hyperbola a fixed parabola having vertex at (0, 0).

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