Write the equation of a hyperbola given the foci and length of conjugate axis

Write the equation of a hyperbola given the foci and length of conjugate axis

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial revisits problems related to ellipses, focusing on plotting foci and determining the center. It explains the concept of transverse and conjugate axes, and how to calculate distances such as C squared. The instructor derives the equation of a hyperbola, emphasizing the importance of understanding a squared and b squared. The session concludes with final calculations and a summary of the process.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in solving problems related to ellipses?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the center of an ellipse from the foci?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the distance from the center to the foci and the value of C?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the values of A squared and B squared in the context of an ellipse.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final equation of the ellipse derived from the given information?

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