Properties of an Ellipse
Not what you're looking for?
Equation: x^2+9y^2-4x+54y+49=0
1. Identify the conic section represented by the equation.
2. Write the equation of the conic section in standard form.
3. Identify relevant key elements of your conic section such as center, focus/foci, directrix, radius, lengths of major and and or minor axes, equations of asymptotes, and length of latus rectum. (Note: not all key elements apply to each equation.)
4. Determine the equation of the line that is tangent to the conic section at the point: (34/5, -9/5)
Purchase this Solution
Solution Summary
This problem demonstrates how to write the equation of an ellipse in standard form and how to find certain properties of the conic section such as the center, major and minor axes, directrix, etc. The slope of a tangent line to the ellipse is found through the method of derivatives.
Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.