The Ellipse Worksheet with Answer Key

What's on the worksheet

1. Find the center, the vertices, the co-vertices and the foci of each ellipse.
   \dfrac{x^2}{64} + \dfrac{y^2}{39} = 19x^2 + 5y^2 = 45\dfrac{(x + 2)^2}{20} + \dfrac{(y - 5)^2}{36} = 1\dfrac{(x - 3)^2}{50} + \dfrac{(y + 1)^2}{25} = 1
2. An ellipse has eccentricity 45 and a minor axis of length 24.
3. An ellipse has foci (1, −4) and (9, −4), and it passes through the point (9, 2).
4. Write 25x² + 16y² + 150x = 32y + 159 in standard form.
5. For each number t > -16, consider the equation \frac{x²}{25 + t} + \frac{y²}{16 + t} = 1.
6. Diego is marking out an elliptical flower bed in a park, 40 feet long and 32 feet wide.