Math Problem Statement
I. Determine the center, foci, vertices, length of the major and minor axis of the given ellipse and then sketch its graph. a. ( ๐ฅ โ 1 ) 2 100 + ( ๐ฆ โ 7 ) 2 25 = 1 b. ( ๐ฅ โ 2 ) 2 36 + ( ๐ฆ โ 1 ) 2 81 = 1 c. 16(x โ 2)2 + 9(y + 3)2 = 144 d. 4x 2 + 3y 2 + 8x โ 6y + 5 = 0
Solution
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Math Problem Analysis
Mathematical Concepts
Conic Sections
Ellipses
Geometry
Algebra
Formulas
Standard form of ellipse: (x-h)^2 / a^2 + (y-k)^2 / b^2 = 1
Formula for foci of an ellipse: c^2 = a^2 - b^2
Theorems
Ellipse properties
Completing the square
Suitable Grade Level
Grades 10-12
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