Some important points related to equation of normal to hyperbola

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Equation of normal of rectangular hyperbola

Equation of normal in Point form

The locus of the point of intersection of tangents drawn at the extremities of normal chords to hyperbola xy = c^(2)

If A,B, and C are three points on the hyperbola xy=c^(2) such that AB subtends a right angle at C, then prove that AB is parallel to the normal to the hyperbola at point C.

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The locus of the point of intersection of the tangents at the ends of normal chord of the hyperbola x^(2)-y^(2)=a^(2) is

The locus of the point of intersection of the tangents at the end-points of normal chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , is

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