Standard Equation of a Hyperbola (Center at Origin, Foci on y - axis)
Formula: (y²)/(a²) - (x²)/(b²) = 1 Conditions: Center at origin (0,0), foci on the y - axis, transverse axis length 2a, conjugate axis length 2b, focal distanc…
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
Formula: (y²)/(a²) - (x²)/(b²) = 1 Conditions: Center at origin (0,0), foci on the y - axis, transverse axis length 2a, conjugate axis length 2b, focal distance 2c satisfies c² = a² + b². Explanation: This is the standard form with foci on the y - axis. Note the difference from the equation with foci on the x - axis.
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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