## Equation of Tangent to Hyperbola in all Forms

Equation of Tangent to Hyperbola $$x^2\over a^2$$ – $$y^2\over b^2$$ = 1 (a) Point form : The equation of tangent to the given hyperbola at its point ($$x_1, y_1$$) is $$x{x_1}\over a^2$$ – $$y{y_1}\over b^2$$ = 1 Example : Find the equation of tangent to the hyperbola $$16x^2$$ – $$9y^2$$ = 144 at (5, 16/3). …