conjugate hyperbola
Chinese equivalent: 共轭双曲线
conjugate hyperbola A hyperbola that shares the same asymptotes with a given hyperbola but has its transverse and conjugate axes swapped. If the original is (x…
Syllabus path: Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Hyperbolas
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CSCA Mathematics Exam Glossary
Definition
conjugate hyperbola A hyperbola that shares the same asymptotes with a given hyperbola but has its transverse and conjugate axes swapped. If the original is (x²)/(a²) - (y²)/(b²) = 1, its conjugate is (y²)/(b²) - (x²)/(a²) = 1.
Related tutorial and examples
Equations and Properties of Hyperbolas
Equations and Properties of Hyperbolas The hyperbola is the most unique of the three conic sections, especially due to its asymptotes. For the CSCA exam, the keys are determining the opening direction (which axis the foci lie on) based on the equation and mastering the Pythagorea…
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