Understanding how to find the foci and vertices of an ellipse conic sections

Understanding how to find the foci and vertices of an ellipse conic sections

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the properties of a horizontal ellipse, including its major and minor axes, vertices, and foci. The instructor explains how to calculate distances using the Pythagorean theorem and emphasizes the formula a² = c² + b². The lesson aims to clarify the relationships between the ellipse's components and how to apply these concepts in geometry.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the difference between the major axis and the minor axis in a horizontal ellipse.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the coordinates of the foci for a horizontal ellipse?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the vertices of a horizontal ellipse?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to find the length of the minor axis in a horizontal ellipse.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the definition of an ellipse as described in the lesson?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the distances a, b, and c in the context of an ellipse?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What formula relates a, b, and c in the context of ellipses?

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