Question

Tangents to the hyperbola $\frac{x^{2}}{a^{2} }-\frac{y^{2} }{b^{2} }=1$ make angles $θ_{1} and θ_{2}$ with the transverse axis. Show that the point of intersection of these tangents lies on the curve $2xy=k(x^{2}-a^{2} )$ when $tanθ_{1}+tanθ_{2}=K$

Answer 1

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