Écris l'équation de l'hyperbole rectangulaire passant par et d'asymptotes se croisant en .
Suppose that we model an object’s trajectory in the solar system by a hyperbolic path in the coordinate plane. The -axis is a line of symmetry of this hyperbola. The object enters in the direction of and leaves in the direction . The sun is positioned at the origin and the object passes within 1 UA (astronomical unit) of the sun at its closest. Using the asymptote’s equations, find the equation of the object’s path.