What is the director circle of hyperbola?

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Anjaneyulu Karusala

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The locus of point of intersections of perpendicular tangents to the hyperbola is a circle called as Director circle and for a standard hyperbola (x^2/a^2)-(y^2/b^2)=1, its equation is x^2+y^2 = a^2-b^2.
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Minimum bounding box and its director circle.
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Is a circle consisting of all points where two perpendicular tangent lines to the ellipse cross each other.
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The locus of point of intersection of perpendicular tangents to the hyperbola is a circle concentric with hyperbola and it is called as director circle. The equation of director circle of hyperbola x^2/a^2 -y^2/b^2 =1 is x^2+y^2=a^2-b^2.
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