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OpenStax, Algebra and Trigonometry 2e §12.2 The Hyperbola · Exercise 74 · Geometry · Conic sections

The Hyperbola · Exercise 74

Assume an object enters our solar system and we want to graph its path on a coordinate system with the sun at the origin and the x-axis as the axis of symmetry for the object's path. Give the equation of the flight path of each object using the given information.

The object enters along a path approximated by the line and passes within 1 au of the sun at its closest approach, so the sun is one focus of the hyperbola. It then departs the solar system along a path approximated by the line

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OpenStax, Algebra and Trigonometry 2e · §12.2 The Hyperbola · Exercise 74

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