Standard Equation of an Ellipse (Center at Origin, Foci on x - axis)
Formula: (x²)/(a²) + (y²)/(b²) = 1, where a > b > 0. Conditions: Center at (0,0), foci on the x - axis, major axis length 2a, minor axis length 2b. Brief Descr…
Syllabus path: Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Ellipses
CSCA Exam Prep
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: (x²)/(a²) + (y²)/(b²) = 1, where a > b > 0. Conditions: Center at (0,0), foci on the x - axis, major axis length 2a, minor axis length 2b. Brief Description: This is the most common form. a is the semi - major axis, b is the semi - minor axis.
Related tutorial and examples
Equations and Properties of Ellipses
Equations and Properties of Ellipses Ellipses are a focal point of the Analytic Geometry section in the CSCA exam. The key to mastering ellipses lies in "Positioning" (determining which axis the foci lie on) and "Quantifying" (understanding the relationship between a, b, c ). 1. …
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