Math Problem Statement
Determine the standard equation of an ellipse with foci at (-21,10) and (3,10) and contains the point (-9,15).
Solution
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Math Problem Analysis
Mathematical Concepts
Analytic Geometry
Conic Sections
Ellipses
Formulas
Standard equation of an ellipse: (x-h)^2/a^2 + (y-k)^2/b^2 = 1
Distance between two points: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Relationship between semi-major axis (a), semi-minor axis (b), and focal distance (c): c^2 = a^2 - b^2
Theorems
Ellipse Focus Theorem
Pythagorean Theorem
Suitable Grade Level
Grades 10-12
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