
Ellipse Properties and Equations

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Sophia Harris
FREE Resource
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the points A1 and A2 in the context of the ellipse?
They are random points on the ellipse.
They represent the extremities of the minor axis.
They are points on the major axis.
They are points on the directrix.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the point M represent in the diagram?
The focus of the ellipse.
A random point on the ellipse.
A point on the directrix.
The center of the ellipse.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the eccentricity (e) used in the equations involving A1 and A2?
As an additive factor in the equation.
As a divisor for the distance to the focus.
As a variable representing the major axis.
As a constant multiplier for the distance to the directrix.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of adding the two equations derived from A1 and A2?
To calculate the distance to the focus.
To eliminate the variable e.
To find the length of the minor axis.
To derive the length of the major axis.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What geometric property is used to simplify the addition of the equations?
The symmetry of the ellipse.
The perpendicularity of the axes.
The equality of the directrices.
The parallel nature of the axes.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of the derived equation for the directrix?
x = b/a
x = a*b
x = e/a
x = a/e
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to know the position of one directrix?
It is used to calculate the eccentricity.
It allows finding the position of the other directrix.
It determines the length of the minor axis.
It helps in finding the center of the ellipse.
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