Grade 11 Math: Ellipse Worksheet
This worksheet covers key concepts of ellipses, including their equations, properties, and graphing.
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Grade 11 Math: Ellipse Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is the standard form of the equation of an ellipse centered at the origin?
x²/a² + y²/b² = 1
x²/a² - y²/b² = 1
(x-h)²/a² + (y-k)²/b² = 1
(x-h)²/a² - (y-k)²/b² = 1
2. For an ellipse, the sum of the distances from any point on the ellipse to the two foci is equal to:
the length of the minor axis
the length of the major axis
the distance between the foci
the eccentricity
3. The two fixed points inside an ellipse are called the .
4. The longest diameter of an ellipse is called the axis.
5. Consider the equation of an ellipse: (x²/25) + (y²/9) = 1. Identify the lengths of the semi-major and semi-minor axes.
6. Graph the ellipse given by the equation: (x²/16) + (y²/36) = 1. Label the vertices and co-vertices.
7. The eccentricity of an ellipse is always greater than 1.
True
False