Circle and Ellipses Application Problems

What is the equation for the focus points on an ELLIPSE?

• c² = a² + b²

• c² = a² - b²

• 1/4d

• (x-h)² + (y-k)² = r²

Find the equation of the graph:

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Find the length of the ellipse's major axis.

• 3 units

• 6 units

• 9 units

• 18 units

Find the location of the foci of the ellipse.

• (0, +√5)

• (+5, 0)

• (+√5, 0)

• (0, +5)

Find the standard form equation of the ellipse with vertices (2,8), (2,-2), and co-vertices (-1,3), (5,3).

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Find the standard form equation of an ellipse with the length of its minor axis = 8, and foci at (-2, + 4√3, 3).

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What is the eccentricity of the ellipse?

• 0.63

• 0.79

• 0.86

• 0.74

Graph the ellipse:

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The ellipse has vertices at _____.

• (+2, 0)

• (+3, 0)

• (0, +2)

• (0, +3)

Which of the following statements is false about the ellipse?

• The length of the minor axis is 4.

• The set of all x-values is [-6, 2].

• The y-intercepts are at (0, 2+ √3).

• The foci are at (-2 + 2√2, 2).