Question 1

A line segment perpendicular to the major axis through a focus is called:

Accepted Answer

Latus Rectum

Answer

Vertex

Answer

Eccentricity

Answer

Asymptote

Question 2

What is the shape of an ellipse if the eccentricity is decreasing?

Accepted Answer

circular

Answer

paraboloid

Answer

elongated

Answer

diagonal

Question 3

Which of the following statements is TRUE about an ellipse?

Accepted Answer

An ellipse looks like a circle that has been squashed into an oval.

Answer

An ellipse can be determined by the difference of two distances.

Answer

An ellipse is defined by three points, each called a focus.

Answer

An ellipse has three lines a, b, and c called generator lines.

Question 4

What property of an ellipse has the longest and shortest diameter?

Accepted Answer

major/minor axis

Answer

foci

Answer

area

Answer

center

Question 5

What is the equation of an ellipse with center at the origin (0,0)?

Accepted Answer

x^2/a^2 + y^2/b^2 = 1

Answer

y^2 = 4ax

Answer

x^2 + y^2 = r^2

Answer

x^2 - y^2 = 1

Question 6

Given the ellipse x^2 + 9y^2 + 16x - 54y + 136 = 0, find the center and the vertices.

Accepted Answer

Center (-8, 3); Vertices (-11, 3) and (-5, 3)

Answer

Center (-8, 3); Vertices (-8, 6) and (-8, 0)

Answer

Center (0, 0); Vertices (3, 0) and (-3, 0)

Answer

Center (8, -3); Vertices (11, -3) and (5, -3)

Question 7

What is the equation of the ellipse with center at the origin, focus at (0, 4), and vertex at (0, 7)?

Accepted Answer

x^2/33 + y^2/49 = 1

Answer

x^2/49 + y^2/33 = 1

Answer

x^2/49 + y^2/16 = 1

Answer

x^2/16 + y^2/49 = 1

Question 8

Given the ellipse (x^2/49) + (y^2/4) = 1, find the center and the vertices.

Accepted Answer

Center (0, 0); Vertices (±7, 0)

Answer

Center (0, 0); Vertices (0, ±7)

Answer

Center (0, 0); Vertices (0, ±2)

Answer

Center (0, 0); Vertices (±2, 0)

Question 9

What is the equation of an ellipse with foci at (±4, 0) and a major axis of length 12?

Accepted Answer

x^2/36 + y^2/20 = 1

Answer

x^2/16 + y^2/36 = 1

Answer

x^2/20 + y^2/36 = 1

Answer

x^2/36 + y^2/16 = 1

Question 10

Given the ellipse ((x + 5)^2/5) + ((y + 9)^2/9) = 1, find the center and the foci.

Accepted Answer

Center (-5, -9); Foci (-5, -11) and (-5, -7)

Answer

Center (5, 9); Foci (5, 11) and (5, 7)

Answer

Center (-5, -9); Foci (-7, -9) and (-3, -9)

Answer

Center (-5, -9); Foci (-5, -9 ± 3)

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