See Sal solve two (very) advanced problems from the IIT JEE exam, a highly challenging exam administered in India.
2690_Common_tangent_of_circle_hyperbola_2_of_5_.html
2693_Common_tangent_of_circle_hyperbola_5_of_5_.html
2689_Common_tangent_of_circle_hyperbola_1_of_5_.html
2688_Representing_a_line_tangent_to_a_hyperbola.html
2694_Intersection_of_circle_hyperbola.html
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