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Problem 45 Hard Difficulty

Find an equation of the tangent line to the hyperbola
$ \frac {x^2}{a^2} - \frac {y^2}{b^2} = 1 $
at the point $ (x_o, y_o). $

Answer

$$\frac{x_{0} x}{a^{2}}-\frac{y_{0} y}{b^{2}}=\frac{x_{0}^{2}}{a^{2}}-\frac{y_{0}^{2}}{b^{2}}=1$$

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Video Transcript

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