Title: Ellipse with center in the origin
Course: 2025 Probabilidad y Estadística

Q: The [...] is a locus of a moving point so that the addition of the distances to two static points, called [...] is [...].

The endpoints of the major axis are called [...].

The endpoints of the minor axis are called [...].

The [...] is a line segment that is perpendicular to the major axis and passes through a focus.
Also offered: Circumference; variable; Parabola
A: Ellipse; foci; constant; vertices; covertices; Latus Rectum

Q: An ellipse has vertices V({a},0) and V' (-{a},0) and foci F({c},0) F'(-{c},0). Determine the length of the focal axis. 
A: 2*{c} (formula; values not in the backup's text)
Feedback ("2*{c}"): Correct!!!!

Q: An ellipse has vertices V({a},0) and V' (-{a},0) and covertices B(0,{c}) B'(0,-{c}). Determine the length of the Latus Rectum. Round your answer to the nearest hundreth.
A: 2*pow({c},2)/{a} (formula; values not in the backup's text)

Q: An ellipse whose minor axis is horizontal has a [...] alignment.
Also offered: horizontal
A: vertical

Q: An ellipse with a vertical focal axis has a [...] alignment.

An ellipse with a vertical latus rectum has a [...] alignment.
Also offered: horizontal; vertical
A: vertical; horizontal

Q: From the list below, find the graph matching the given equation.

​

[Image]
- [Image] (Correct)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
A: [Image]

Q: Find the vertices of the ellipse.

​

[Image]

​
- (-6, 0) and (6, 0) (Incorrect)
- (-10, 0) and (10, 0) (Correct)
- (-1, 0) and (1, 0) (Incorrect)
- (-8, 0) and (8, 0) (Incorrect)
- none of these (Incorrect)
A: (-10, 0) and (10, 0)

Q: Find an equation for the ellipse whose graph is shown.

​

[Image]
- none of these (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
- [Image] (Incorrect)
A: [Image]

Q: Find an equation for the ellipse whose graph is shown.

​

[Image]

​
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- none of these (Incorrect)
A: [Image]

Q: Find an equation for the ellipse that satisfies the given conditions.

​

length of major axis 10, length of minor axis 8, foci on x-axis

​
- none of these (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
A: [Image]

Q: Find an equation for the ellipse that satisfies the given conditions.

​

foci (  ±6, 0 ), length of major axis 16

​
- [Image] (Incorrect)
- [Image] (Incorrect)
- none of these (Incorrect)
- [Image] (Correct)
A: [Image]