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Equation of Chord of Contact of Tangents Drawn from a Point to a Hyperbola

Category : JEE Main & Advanced

Let PQ and PR be tangents to the hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] drawn from any external point \[P\,({{x}_{1}},\,{{y}_{1}})\].     Then equation of chord of contact QR is \[\frac{x{{x}_{1}}}{{{a}^{2}}}-\frac{y{{y}_{1}}}{{{b}^{2}}}=1\] or \[T=0\],    

 

   

keyboard_arrow_left Equations of Normal in Different Forms
Equation of the Chord of the Hyperbola Whose mid point \[\mathbf{(}{{\mathbf{x}}_{\mathbf{1}}}\mathbf{,}\,\,{{\mathbf{y}}_{\mathbf{1}}}\mathbf{)}\] is given keyboard_arrow_right

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