# hyperbola and cricle

Level pending

If a variable line has its intercepts on the coordinate axes $$e,e_{1}$$ , where $$\frac {e}{2} , \frac{e_{1}}{2}$$ are the eccentricities of a hyperbola and its conjugate hyperbola respectively, the the line always touches the circle $$x^2+y^2=r^2$$. What is the value of $$r$$ ?

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