Given the center, b and eccentricity find the equation of a hyperbola

Given the center, b and eccentricity find the equation of a hyperbola

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains a problem involving a vertical focal axis, different from a previous problem. The instructor discusses the center of the graph, deciding not to plot it since it's at the origin. The focus is on understanding the vertical focal axis, calculating eccentricity, and identifying values for A, B, and C. The tutorial concludes with deriving the equation using these values.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the center in the context of a vertical focal axis?

It is the point where the graph starts.

It is the origin and the only point to plot.

It is the midpoint of the graph.

It is irrelevant to the graph.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a vertical focal axis, what is the relationship between y and a?

y is equal to a.

y is less than a.

y is unrelated to a.

y is over a.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the known values that need to be identified in the problem?

A and B

C and D

H and K

X and Y

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is eccentricity defined in the context of this problem?

A divided by B

A multiplied by C

C divided by A

B divided by C

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final equation formulated in the problem?

X^2/B^2 = 1

Y^2/B^2 = 1

Y^2/A^2 = 1

X^2/A^2 = 1