Math Problem Statement
write standard form of ellipse whose foci is at (3,0) and (3,4) and co-vertices (2,0) and (6,0)
Solution
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Math Problem Analysis
Mathematical Concepts
Analytic Geometry
Ellipses
Conic Sections
Formulas
Equation of an ellipse: (x-h)^2/b^2 + (y-k)^2/a^2 = 1
Distance between foci and center: c^2 = a^2 - b^2
Theorems
Ellipse equation with vertical major axis
Midpoint formula for center
Relationship between semi-major axis, semi-minor axis, and focal distance
Suitable Grade Level
Grades 10-12
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