Comparing hyperbolas to ellipse's

Comparing hyperbolas to ellipse's

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial covers the concepts of ellipses and hyperbolas, focusing on their key characteristics, formulas, and graphing techniques. It explains the differences between ellipses and hyperbolas, including the placement of foci and the use of asymptotes in hyperbolas. The tutorial provides detailed instructions on identifying major and minor axes, vertices, and using specific formulas for graphing and solving problems related to these conic sections.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main difference between the major and minor axes in an ellipse?

The major axis is always horizontal.

The minor axis is longer than the major axis.

The major axis is always vertical.

The major axis is longer than the minor axis.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In an ellipse, what does the distance 'a' represent?

Distance from the center to the minor axis

Distance from the center to the co-vertices

Distance from the center to the vertices

Distance from the center to the foci

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you determine if an ellipse is horizontal or vertical?

By checking if b is greater than a

By checking if b is under the y-term

By checking if a is greater than b

By checking if a is under the x-term

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key characteristic of hyperbolas compared to ellipses?

The major axis is always horizontal.

The foci are outside the vertices.

The foci are inside the vertices.

The minor axis is always vertical.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the transverse axis in a hyperbola?

The axis that is always vertical

The axis that is always horizontal

The axis that determines the direction of opening

The axis that is longer than the conjugate axis

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you identify a hyperbola from its equation?

By checking if a is greater than b

By checking if the terms are subtracted

By checking if b is greater than a

By checking if the terms are added

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What formula is used to find the asymptotes of a hyperbola?

y = h ± b/a * (x - k)

y = k ± a/b * (x - h)

y = k ± b/a * (x - h)

y = h ± a/b * (x - k)

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?