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Some important points related to equation of normal to hyperbola

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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.

Some Important Points|Exercise Questions|OMR

Introduction|Algebric Expression|Types Of Algebric Expression|Important Points Related To Equation|Question Practice|OMR

Introduction|Algebric Expression|Types Of Algebric Expression|Important Points Related To Equation|Question Practice|OMR

Find the equation of the normal to the hyperbola x^(2)-y^(2)=9 at the point p(5,4).