Equation of an Ellipse

What is the standard form equation of an ellipse with center at the origin and major axis along the x - axis?

Which type of conic section whose sum of the distances from any point on the graph to its foci is constant?

• Circle

• Ellipse

• Hyperbola

• Parabola

In an ellipse, what does 2a represent?

• Focal distance

• Length of minor axis

• Length of major axis

• Length of the foci

If an ellipse has center (h, k), what is the standard form equation when the major axis is parallel to the y-axis?

Determine the focal distance of an ellipse if the length of the major and minor axes are 82 units and 80 units, respectively.

• 20 units

• 18 units

• 12

• 9 units

Determine the length of major axis of an ellipse if the length of the minor axis is 12 units and the distance between the two foci is 16 units.

• 10 units

• 20 units

• 24 units

• 30 units

What is the length of the minor axis of an ellipse if the length of the major axis is 34 units and the distance between the two foci is 30 units?

• 8 units

• 15 units

• 16 units

• 17 units

Which of these is NOT a characteristic of an ellipse?

• It has two axes of symmetry

• It has two foci

• All points are equidistant from the center

• The sum of the distances from any point to the foci is constant

If an ellipse has a major axis length 82 and minor axis length 18, what is its focal distance?

• 41 units

• 40 units

• 37 units

• 35 units

For an ellipse with vertices at (±8, 0) and co-vertices at (0, ±7), what is its equation in standard form?