Math Problem Statement
standard form of ellipse whose foci are at (1,5) and (1,1) and the length of minor axis is at 4
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Conic Sections
Ellipses
Formulas
Equation of an ellipse: (x - h)^2 / b^2 + (y - k)^2 / a^2 = 1
Relationship between a, b, and c in an ellipse: a^2 = b^2 + c^2
Distance formula for foci and center
Theorems
The relationship between the semi-major axis, semi-minor axis, and foci in an ellipse
Suitable Grade Level
Grades 10-12
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