Asymptote Equations of a Hyperbola (Standard Form)
For the equation (x²)/(a²) - (y²)/(b²) = 1, the asymptotes are: y = ± (b)/(a) x For the equation (y²)/(a²) - (x²)/(b²) = 1, the asymptotes are: y = ± (a)/(b) x…
Syllabus path: Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Hyperbolas
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This formula is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.
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CSCA Mathematics Formula Reference
Formula and explanation
For the equation (x²)/(a²) - (y²)/(b²) = 1, the asymptotes are: y = ± (b)/(a) x For the equation (y²)/(a²) - (x²)/(b²) = 1, the asymptotes are: y = ± (a)/(b) x Explanation: The hyperbola approaches these two lines infinitely but never intersects them.
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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