Math Problem Statement
Tentukan persamaan garis singgung yang melalui Titik L(1, 5) pada ellips (x-3)²/16(y+4)²/108= 1
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Analytic Geometry
Conic Sections
Ellipses
Tangent Lines
Formulas
Equation of an ellipse: (x-h)²/a² + (y-k)²/b² = 1
Formula for the tangent to an ellipse at a given point: Ax₁x + By₁y = r² (specific to the ellipse form)
Theorems
The tangent line to an ellipse at a point is perpendicular to the radius through that point.
Suitable Grade Level
Grades 10-12
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