What is the constant sum of distances from any point on an ellipse to its two foci called?

Understanding Ellipses

Interactive Video
•

Aiden Montgomery
•
Mathematics
•
8th - 12th Grade
•
2 plays
•
Medium
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Radius
Diameter
Circumference
Focal Constant
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the standard form of an ellipse, what do the variables h and k represent?
The foci of the ellipse
The coordinates of the center
The eccentricity
The lengths of the axes
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you determine if the major axis of an ellipse is horizontal?
The larger denominator is under the x part
The larger denominator is under the y part
The ellipse is a circle
The foci are on the y-axis
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between a, b, and c in an ellipse?
b^2 = a^2 + c^2
a^2 = b^2 + c^2
a^2 + b^2 = c^2
c^2 = a^2 + b^2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If an ellipse has a vertical major axis, how do you find the coordinates of the foci?
Add and subtract c from the x-coordinate
Add and subtract c from the y-coordinate
Add and subtract a from the x-coordinate
Add and subtract b from the y-coordinate
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the length of the major axis if a = 3?
9
6
12
3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example with center (3, -1), what is the length of the minor axis?
8
2
4
6
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For an ellipse with a horizontal major axis, what is the formula to find c?
a^2 = b^2 + c^2
b^2 = a^2 + c^2
c^2 = a^2 + b^2
a^2 + b^2 = c^2
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the center of the ellipse if the equation is in the form (x + 2)^2/9 + (y - 1)^2/1 = 1?
(2, 1)
(-2, 1)
(2, -1)
(-2, -1)
10.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the foci for an ellipse with a horizontal major axis?
Add and subtract b from the x-coordinate
Add and subtract a from the y-coordinate
Add and subtract c from the x-coordinate
Add and subtract c from the y-coordinate
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